Picard method of successive approximations Example for solving ODE

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  • Опубліковано 6 сер 2024
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    This video lecture of Picard Method - Solution of Differential Equation By Numerical Method | Example & Solution by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
    1. Solution of Differential Equation By Numerical Method
    2. Picards Method to solve ordinary Differential Equation of First Order and First Degree and example based on this rule
    3 Example and Solution based on Picards Method - Solution of Differential Equation By Numerical Method
    #NumericalAnalysis #PicardsMethods #DifferentialEquation #NumericalMethods #GATE #IITJAM
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    Time Stamp
    An introduction - 0:00
    Solution of ordinary Differential equation by numerical method - 0:20
    Formula of Picard method - 1:25
    Example 1 - 1:35
    Example 2 - 6:39
    Conclusion of video - 10:37
    Detailed about old videos - 10:43
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КОМЕНТАРІ • 297

  • @VanshikaGambhir
    @VanshikaGambhir 2 місяці тому +1

    00:12 The Picard method is a technique for solving first-order ordinary differential equations using numerical analysis.
    00:58 Picard method is an iterative approach for solving ODEs.
    02:08 Picard method is an iterative numerical method for solving ordinary differential equations.
    03:45 Picard method of successive approximations is a technique for solving ODEs.
    05:26 Picard method helps in approximating solutions to ODEs
    06:58 The Picard method of successive approximations is a technique for solving ordinary differential equations (ODE)
    08:35 Picard method of successive approximations is used for solving ODEs.
    10:06 The Picard method is used to solve ODEs.

  • @JustAlexThings
    @JustAlexThings 3 роки тому +6

    Thnku so much sir🙏
    So Simple and more effective ❤️

  • @amritsupdates
    @amritsupdates 4 роки тому +12

    Thanks a lot sir ji 🙏 for this playlist.... really helpful these videos!!!

  • @TizedesCsaba
    @TizedesCsaba 4 місяці тому +1

    Dear Mr. Ganjendra, it is possible to implement this method fully numerically, because lots of functions can't integrate in closed form or too fast become too complex for integration. Thank you for any hints or advice!

  • @amritathakur2036
    @amritathakur2036 2 роки тому

    Bhagwaan aapka bhla kre sir students ko free mai gyan dene ke liye...

  • @s.j.12
    @s.j.12 3 місяці тому

    Thank youuu sirrr
    Your videos are like survival kit for our exams... Thank you!!

  • @whatsnewnow4469
    @whatsnewnow4469 3 роки тому +15

    big salute to both lecturer and cameraman. they made it easy for the student

  • @ramashish3301
    @ramashish3301 Рік тому

    I'm student of government degree college still i watch mejority of the classes sir.....u r giving me a glamourous and out standing lectures

  • @TeamAyushVlog239
    @TeamAyushVlog239 6 місяців тому

    Aap bhout acha explain karte ho sir aapke video se bhout help melte h tnq so much sir❤

  • @sakshidahiya-dw7or
    @sakshidahiya-dw7or 5 місяців тому

    Thanku so much sir for these videos very helpful for us🙏🙏

  • @gouravsinghal2137
    @gouravsinghal2137 Рік тому +1

    By your efforts we can complete our semesters

  • @SameerSameer-id6sn
    @SameerSameer-id6sn Рік тому

    Your way of teaching is very good sir. 😊🙏🙏

  • @sunilkumar-qk2ql
    @sunilkumar-qk2ql 3 роки тому +2

    Sir you explaining well
    Thank you so much sir

  • @ANILKUMAR-vt7pc
    @ANILKUMAR-vt7pc 3 роки тому +4

    very helpful sir, thank you so much for your efforts

  • @TechGlowSaumya
    @TechGlowSaumya Рік тому +1

    Thank uh so much sir for teaching us ☺️👍

  • @adityatiwari8456
    @adityatiwari8456 3 роки тому

    Thankyou sir, you always come at help

  • @satyamvidiawesome6490
    @satyamvidiawesome6490 4 роки тому

    Thank you so much.... very helpful...

  • @Artek-bug
    @Artek-bug 3 роки тому +1

    I do not even understand what you are saying, but the examples were very helpful, thank you

  • @gauravbhardwaj3220
    @gauravbhardwaj3220 3 роки тому +16

    Sir can you please make the playlists for this ode chapter so that we can understand it part by part ❣️

  • @shefalijain11
    @shefalijain11 3 роки тому +1

    you videos are of great help always. thank you!

  • @deepshikha5677
    @deepshikha5677 2 роки тому

    Sir you solved all the doubt thank you

  • @14dayztimeap8
    @14dayztimeap8 Рік тому +1

    You are the best teacher.

  • @deepsheth8005
    @deepsheth8005 4 роки тому +2

    Awesome, keep it up😎👍🏻

  • @tusharmittal7648
    @tusharmittal7648 4 роки тому

    thank you so much sir for making such good videos

  • @mohammedadilrehan3903
    @mohammedadilrehan3903 5 років тому +8

    Thank you very much sir for your vital help...

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +3

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  • @karanbayad8
    @karanbayad8 3 роки тому +18

    Sir absolutely amazing explanation!!!!! Hats off to you sir , hope your channel reaches millions and millions of new subscribers

  • @kuldeepverma7106
    @kuldeepverma7106 4 роки тому +1

    Thanks for teach us 🙏🙏🙏

  • @memesspecial568
    @memesspecial568 3 місяці тому +3

    Kidhr ki der hori hai isse jyada time to hm pe hai jinka kl paper hai

  • @learnergursimran5545
    @learnergursimran5545 Рік тому

    Best channel for self study🎉

  • @virupakshi3071
    @virupakshi3071 4 роки тому +2

    Thank you sir, your videos makes me more perfect in that particular topics tqsm sir🙏

  • @chirag6170
    @chirag6170 5 місяців тому

    Vrry nice explanation sir

  • @mohdhashim7974
    @mohdhashim7974 4 роки тому +1

    Very good teachings

  • @farhakhan4052
    @farhakhan4052 4 роки тому +3

    Infinite likes for your video sir... amazing.. thank you so much sir 🤩🤩🤩

  • @prernadhiman8739
    @prernadhiman8739 8 місяців тому

    Thank you so much sir👍🏼✨

  • @itz_qr_beatz1563
    @itz_qr_beatz1563 2 роки тому +1

    Thanks a lot sir ♥️

  • @jatinnyt3523
    @jatinnyt3523 3 роки тому +2

    It was so easy sir thanku so much
    Book mai confusion hota h but yaha clearly smjh aa jata h ...

  • @deepikadas7433
    @deepikadas7433 2 роки тому

    Sir agar apka channel na hota to mai himmat har Chuka tha meri mathematical physics semester ke liye.Thank you so much sir.SIr plz mathematical physics bhi padhaye na sir ap to padha sakte hai.

  • @ayush3611
    @ayush3611 3 роки тому +19

    i think there is a mistake in putting limit of integration in question 2 . where you(with due regard) put 1 as limit of integration instead of x

  • @rafi1039.
    @rafi1039. 2 роки тому

    thank you very much sir.pray for you

  • @shubhamkadam5728
    @shubhamkadam5728 2 роки тому +2

    Conceptual explanation is perfect but many problems in numerical methods

  • @bableshyadav7817
    @bableshyadav7817 Рік тому

    Many thanks to you sir

  • @uditsaxena3844
    @uditsaxena3844 3 роки тому

    Thank you sir u are a rockstar

  • @Pencilkeeper13
    @Pencilkeeper13 Рік тому +17

    limit is from 0 to x, not from 0 to 1 .

    • @gongatigowthami5089
      @gongatigowthami5089 8 місяців тому

      Haa jii answer was wrong hai

    • @adityabatra6248
      @adityabatra6248 7 місяців тому

      while this is true answer is correct as he forgot to put in the limits of integeration y1 comes out to be e^x-1

  • @bhupendrashah1864
    @bhupendrashah1864 4 роки тому

    THANK YOU VERY MUCH SIR

  • @pragyatripathi3225
    @pragyatripathi3225 3 роки тому +2

    Given dy/dx=x2/(y2+1) with initial conditions y(0) =0 when x(0) =0.Use Picard method to obtain y for x=0.25 to three decimal places. Sir please solve this question

  • @aumkarjahagirdar6927
    @aumkarjahagirdar6927 3 роки тому +8

    Sir, if you see the recording at 9th min,the question you were solving, in the same question, it was already given that y1 + y= e^x. on applying Picard's Thereom, you got y1=e^x, indirectly replacing that in question, we get y=0,so y would be always zero and we couldn't comment on anything. Can you please clarify me, where I am thinking wrong.

    • @simply_sophisticated
      @simply_sophisticated 2 роки тому

      bhai wo y1 nahi y' given hai Waise ab koi kaam nahi hoga iska 😂😂

  • @SiddharthChakravarthyS
    @SiddharthChakravarthyS 4 роки тому +9

    sir can you please write neately i kinda get lost in the explanation because of the writing
    even if its slow dont worry , but please write neately

  • @whatsnewnow4469
    @whatsnewnow4469 3 роки тому +1

    thank u so much sir for your excellent teaching skills .....................

  • @vamshivarmanampally1810
    @vamshivarmanampally1810 3 роки тому

    Thank you sir...🌸💐

  • @mitalimachiwal-iitguwahati9254
    @mitalimachiwal-iitguwahati9254 4 роки тому +1

    Thanks sir , your explanation is awesome

  • @user-qe6gp4gm8f
    @user-qe6gp4gm8f 7 місяців тому

    Thankyou so much sir 😊

  • @indinman_1
    @indinman_1 2 роки тому

    Thank you gurudev 🙏🙏

  • @gopaninemil3005
    @gopaninemil3005 2 роки тому +2

    Sir, Please upload video on Homotopy perturbation method for solving linear and nonlinear ODE.

  • @neetunagar1546
    @neetunagar1546 3 роки тому

    You are Awesome sir

  • @kookiescream1539
    @kookiescream1539 4 роки тому

    Thank you Sir!

  • @TusharPanchal-cv6uy
    @TusharPanchal-cv6uy Рік тому

    Thnxs sir AMAZING SIR

  • @aiswaryatm6689
    @aiswaryatm6689 3 роки тому

    Thank you so much sir

  • @videosofficial9356
    @videosofficial9356 2 роки тому +10

    9:04 limit is from x to 0 not 1 to 0

    • @TipuSultan.A.B.M.
      @TipuSultan.A.B.M. Рік тому

      yah!! same question @sir please clarify this

    • @PULKIT_2M
      @PULKIT_2M Рік тому

      sir ne galti se x likh diya he jabki x hi hona chaiye tha

    • @adityabatra6248
      @adityabatra6248 7 місяців тому

      while this is true answer is correct as he forgot to put in the limits of integeration y1 comes out to be e^x-1

  • @scientific_study
    @scientific_study 3 роки тому

    Excellent ❤️🔥

  • @AestheticUdy
    @AestheticUdy 2 роки тому +1

    Thanks a lot Sir , I M READY FOR MY EXAM

  • @sudhanshukumarjha9040
    @sudhanshukumarjha9040 7 місяців тому +3

    Starting Sahi nahi hi aur proper step v aapka sahi nahi

  • @dedicatedtovillagersmonuse6913

    Thank u so much sir ji✌✌✌✌

  • @roster_4899
    @roster_4899 2 роки тому

    I'm started my study with uhhh sir

  • @anirbanghosh6328
    @anirbanghosh6328 4 роки тому

    thank you sir, sir upload a video on taylor's series

  • @laughternights
    @laughternights Рік тому

    Thank you sir

  • @abhishekdodda5641
    @abhishekdodda5641 2 роки тому

    very nice and useful

  • @suhaspatole9386
    @suhaspatole9386 Рік тому

    KY SAMJAH YA HEY SIR NEY THANK YOU

  • @Gauravkoshyari2911
    @Gauravkoshyari2911 3 місяці тому

    thnks

  • @iqrashoukat1195
    @iqrashoukat1195 11 місяців тому +1

    Sir advance analysis py b videos bannayen plzzzzz from Pakistan ❤❤❤❤❤❤❤

  • @ipmukherjee4266
    @ipmukherjee4266 2 роки тому +1

    Are Picard Method and Picard Lindelof theorem same??????... Pls reply

  • @ajaytailor2832
    @ajaytailor2832 Рік тому

    Thankyou sir ❤

  • @ranabindumondal9301
    @ranabindumondal9301 Рік тому

    very informative

  • @amanchandel5852
    @amanchandel5852 4 роки тому

    Thanks sir ji🤗

  • @shrutipatidar340
    @shrutipatidar340 Рік тому

    Thank you sir😇

  • @pritijha2617
    @pritijha2617 5 років тому +24

    Thank you sir!

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +7

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    • @shivamsrivastava_53b74
      @shivamsrivastava_53b74 3 роки тому +15

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    @fatonaoladimeji9697 Рік тому

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    @tejasberad6349 3 роки тому

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  • @Vishesh2512
    @Vishesh2512 2 роки тому +1

    bold of my math syllabus to assume that I have any clue how to integrate stuff

  • @pawanpreet.
    @pawanpreet. 2 роки тому

    Obtain Picard's second approximate solution of the initial value problem
    y' = x²(y² + 1), y(0) = 0.
    Please. Sir slove this question

  • @lonagoswami7292
    @lonagoswami7292 4 роки тому

    Sir pls discuss...... the rule of lipschitz method of differential equation

  • @narainphysics6880
    @narainphysics6880 2 роки тому

    Thank u sir

  • @arghojitsaha3568
    @arghojitsaha3568 Рік тому

    thank you sir😊

  • @lonagoswami7292
    @lonagoswami7292 4 роки тому

    Thanks sir☺😊

  • @gurjeevsangha8046
    @gurjeevsangha8046 4 роки тому +1

    Sir 1st question m x1 ki value x Kyu h ?? 😕..... And similarly for x2 and x3 also?

  • @anuragkushwaha7934
    @anuragkushwaha7934 2 роки тому

    East or west GP sir is the best👍💯

  • @publicgamingyt6862
    @publicgamingyt6862 2 роки тому

    Thank u so much

  • @Ravinder600
    @Ravinder600 2 роки тому

    Thank 🙏🙏🙏🙏 you sr💖💖💖💖💖💖💖💖

  • @gmmathematicslove
    @gmmathematicslove Рік тому

    Thanks 🙏👍 sir

  • @ZRK55
    @ZRK55 4 роки тому

    Dear sir , which book do u refer , plz reply

  • @anujverma4766
    @anujverma4766 5 років тому +3

    thank you so much sir.....

    • @gajendrapurohit
      @gajendrapurohit  5 років тому

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  • @ajitsinghnauhwar1933
    @ajitsinghnauhwar1933 5 років тому

    Thanks a lot sir !!

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +1

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  • @maimurislam5429
    @maimurislam5429 Рік тому

    Please make a video on cubic spline interpolation

  • @hasinakarim2314
    @hasinakarim2314 4 роки тому

    Dy/dx+y=x ,,y(0)=1and h=0.2 find picard method and exactly solution absolute table plz this question solve sir

  • @prakashbairad9780
    @prakashbairad9780 3 роки тому

    Best teacher

  • @Nishantkumar-oh9th
    @Nishantkumar-oh9th Рік тому

    GOD of Engg mathematics

  • @lalitmathur2811
    @lalitmathur2811 Рік тому

    sir in 1st example i think something is wrong , squared in y1 value while putting n=1 and in y2's Value while putting n=2

  • @jitendrasaini2224
    @jitendrasaini2224 4 роки тому

    Sir plz.. Ek video conjugate gradient method pr bhi bna dijiye.....

  • @genericveerwal7885
    @genericveerwal7885 3 роки тому +1

    I swear to god, I study in IITB and this guys teaches so much better

  • @Sandhyakumari-eu1hc
    @Sandhyakumari-eu1hc 3 роки тому

    Thank you

  • @pradiplagad6040
    @pradiplagad6040 5 років тому +6

    Thank you so much sir for your guidance

    • @gajendrapurohit
      @gajendrapurohit  5 років тому +2

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