Besse Extended Cubic B-spline Collocation Method for Solving Benjamin-Bona-Mahony Equation

Authors

  • Nur Nadiah Mohd Rahan School of Mathematical Sciences Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia.
  • Nur Nadiah Abd Hamid School of Mathematical Sciences Universiti Sains Malaysia, 11800 Minden, Penang, Malaysia.

Abstract

Extended cubic B-spline collocation method is formulated to solve the Benjamin-Bona-Mahony equation without linearization. The Besse relaxation scheme is applied on the nonlinear terms and therefore transforms the equation into a systemof two linear equations. The time derivative is discretized using Forward Difference Approximation whereas the spatial dimension is approximated using extended cubic B-spline function. Applying the von-Neumann stability analysis, the proposed technique are shown unconditionally stable. Two numerical examples are presented and the results are compared with the exact solutions and recent methods.

Downloads

Published

15-04-2023

How to Cite

Mohd Rahan, N. N., & Abd Hamid, N. N. (2023). Besse Extended Cubic B-spline Collocation Method for Solving Benjamin-Bona-Mahony Equation. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 39(1), 33–42. Retrieved from https://matematika.utm.my/index.php/matematika/article/view/1448

Issue

Section

Articles