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.

DOI:

https://doi.org/10.11113/matematika.v39.n1.1448

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.

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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, 39(1), 33–42. https://doi.org/10.11113/matematika.v39.n1.1448

Issue

Volume 39 (April 2023)

Section

Articles

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Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.