SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

Lamnii, A.; Mraoui, H.

Manuscript ID : 521814 Visit : 335 Page: 11 - 23

Article Type: Original Research

SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

Subject Areas : International Journal of Mathematical Modelling & Computations

1 - Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco
2 - Annamalai University Morocco

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2013-03-21

Keywords: collocation method, Boundary-value problems, Spline interpolant,

Abstract :

The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.

References:

Numerical Solution of Nonlinear System of Ordinary Differential Equations by the Newton-Taylor Polynomial and Extrapolation with Application from a Corona Virus Model
Print Date : 2021-12-01
Estimates for the Generalized Fourier-Bessel Transform in the Space L2
Print Date : 2016-11-01
Common Fixed-Point Theorems For Generalized Fuzzy Contraction Mapping
Print Date : 2016-11-01
An efficient method for the numerical solution of Helmholtz type general two point boundary value problems in ODEs
Print Date : 2016-11-01
Multistage Modified Sinc Method for Solving Nonlinear Dynamical Systems
Print Date : 2017-01-01
An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
Print Date : 2016-11-01

Share To

Article Url

SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS