A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations

Authors

  • Olumide O. Olaiya Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
  • Mark I. Modebei Mathematics Programme, National Mathematical Centre, Abuja, Nigeria; Department of Mathematics, University of Abuja, Nigeria
  • Saheed A. Bello National Water Resources Institute, Kaduna, Nigeria

Keywords:

Korteweg-de Vries (KdV) equations, Fifth-order PDE, Linear multistep, Block Method, Convergence

Abstract

Fifth-order Korteweg-de Vries (KdV) equations, arise in modeling waves phenomena such as the propagation of shallow water waves over a flat surface, gravity-capillary waves and sound waves in plasmas. In this work, a one-step block hybrid linear multistep method was derived using the collocation technique, to solve fifth-order KdV models via the Method of Line (MoL). The consistency, stability and convergence of the method were established. The efficiency of the method can be seen from comparison of the exact solutions of problems and other methods cited from literature.

Dimensions

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Published

2022-08-19

How to Cite

A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 797. https://doi.org/10.46481/jnsps.2022.797

Issue

Volume 4, Issue 3, August 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Olumide O. Olaiya, Mark I. Modebei, Saheed A. Bello

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

A One-Step Block Hybrid Integrator for Solving Fifth Order Korteweg-de Vries Equations. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 797. https://doi.org/10.46481/jnsps.2022.797