Learn · Scientific Computing using Matlab

Lecture 61 of 65Module 11

Taylor Series Method for Ordinary Differential Equations

Prof. Mani Mehra Prof. Vivek K. Aggarwal · IIT Delhi Delhi Technological University

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Scientific Computing using Matlab, IIT Delhi Delhi Technological University (at NPTEL)
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All the lectures

  1. Introduction to Matlab Video
  2. Plotting of Functions in Matlab Video
  3. Symbolic Computation in Matlab Video
  4. Functions definition in Matlab Video
  5. In continuation of basics of Matlab Video
  6. In continuation of basics of Matlab (contd...) Video
  7. Floating point representation of a number Video
  8. Errors arithmetic Video
  9. Iterative method for solving nonlinear equations Video
  10. Bisection method for solving nonlinear equations Video
  11. Order of Convergence of an Iterative Method Video
  12. Regula-Falsi and Secant Method for Solving Nonlinear Equations Video
  13. Raphson method for solving nonlinear equations Video
  14. Newton-Raphson Method for Solving Nonlinear System of Equations Video
  15. Matlab Code for Fixed Point Iteration Method Video
  16. Matlab Code for Newton-Raphson and Regula-Falsi Method Video
  17. Matlab Code for Newton Method for Solving System of Equations Video
  18. Linear System of Equations Video
  19. Linear System of Equations (contd.) Video
  20. Gauss Elimination Method for solving Linear System of Equation Video
  21. Matlab Code for Gauss Elimination Method Video
  22. LU Decomposition Method for Solving Linear System of Equations Video
  23. LU Decomposition Method for Solving Linear System of Equations (contd.) Video
  24. Iterative Method for Solving Linear System of Equations Video
  25. Iterative Method for Solving Linear System of Equations (contd.) Video
  26. Matlab Code for Gauss Jacobi Method Video
  27. Matlab Code for Gauss Seidel Method Video
  28. Matlab Code for Gauss Seidel Method Video
  29. Power Method for Solving Eigenvalues of a Matrix Video
  30. Power Method for Solving Eigenvalues of a Matrix (Contd.) Video
  31. Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix Video
  32. Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix Video
  33. Matlab Code for Power Method/ Shifted Inverse Power Method Video
  34. Interpolation Video
  35. Interpolation (Contd.) Video
  36. Interpolation (Contd.) Video
  37. Interpolating Polynomial Using Newton's Forward Difference Formula Video
  38. Error Estimates in Polynomial Approximation Video
  39. Interpolating Polynomial Using Newton's Backward Difference Formula Video
  40. Stirling's Formula and Lagrange's Interpolating Polynomial Video
  41. In Continuation of Lagrange's Interpolating Formula Video
  42. Interpolating Polynomial Using Newton's Divided Difference Formula Video
  43. Examples Based on Lagrange's and Newton's Divided Difference Interpolation Video
  44. Spline Interpolation Video
  45. Cubic Spline Video
  46. Cubic Spline (contd.) Video
  47. Curve Fitting Video
  48. Quadratic Polynomial Fitting and Code for Lagrange's Interpolating Polynomial using Octave Video
  49. Matlab Code for Newton's Divided Difference and Least Square Approximation Video
  50. Matlab Code for Cubic Spline Video
  51. Numerical Differentiation Video
  52. Various Numerical Differentiation Formulas Video
  53. Higher Order Accurate Numerical Differentiation Formula For First Order Derivative Video
  54. Higher Order Accurate Numerical Differentiation Formula For Second Order Derivative Video
  55. Numerical Integration Video
  56. Trapezoidal Rule for Numerical Integration Video
  57. Simpson's 1/3 rule for Numerical Integration Video
  58. Simpson's 3/8 Rule for Numerical Integration Video
  59. Method of Undetermined Coefficients Video
  60. Octave Code for Trapezoidal and Simpson's Rule Video
  61. Taylor Series Method for Ordinary Differential Equations Video
  62. Linear Multistep Method (LMM) for Ordinary Differential Equations Video
  63. Convergence and Zero Stability for LMM Video
  64. Matlab/Octave Code for Initial Value Problems Video
  65. Advantage of Implicit and Explicit Methods Over Each other via Matlab/Octave Codes for Initial value Problem Video