QUINTIC B-SPLINE METHOD FOR NUMERICAL SOLUTION OF THE ROSENAU-BURGERS EQUATION

Year 2019, Volume: 37 Issue: 3, 967 - 979, 01.09.2020

Reza Abazarı Kenan Yıldırım

Abstract

In this paper, the quintic B–spline method is employed to calculatenumerical solution of the initial-boundary value problem of Rosenau–Burgersequation. This scheme is based on the Crank–Nicolson formulation for time integration and quintic B–spline functions for space integration. The unconditional stability of the method is proved using Von–Neumann approach. A priori bound and the error estimates of the approximate solutions are discussed with a numerical example.

Keywords

Rosenau-Burgers equation, quintic b-spline method, Crank-Nicolson scheme, Thomas algorithm

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