Скачать или смотреть Cubic B-Spline Procedure for solving Ordinary Differential Equations (Matlab)

#Bspline #matlab #ode #BVP #Numerical #differential #equation

To support : https://www.paypal.com/paypalme/alshi...

Approximated solutions of differential equations have been obtained using different types of methods. Fang, Tsuchiya, and Yamamoto (2002) presented solutions to second order boundary value problems with homogeneous boundary conditions using three methods, the finite difference, the finite element, and finite volume methods, with the help of an inversion formula of a nonsingular tridiagonal matrix. Farago and Horvath (1999) obtained numerical solutions of the heat equation using the finite difference method. Bhatti and Bracken (2006) presented approximate solutions to linear and nonlinear ordinary differential equations using Bernstein polynomials.
Bhatta and Bhatti (2006) obtained numerical solution of KdV equation using modified Bernstein polynomials via Galerkin method. This last method and the cubic B-spline method share similar properties. However, the advantage of cubic B-splines is that the polynomials are always of degree
three, while in the case of Bernstein polynomials, the degree is quite high which depends on the number of subintervals. Munguia et. al. (2014) discussed usage of cubic B-spline functions in interpolation.
In this video, we seek to approximate solutions to second order linear boundary value problems using cubic B-splines.