Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines

Authors

  • Olumide O. Olaiya
    Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria
  • Rasaq A. Azeez
    Department of Mathematics, University of Abuja, Abuja, Nigeria
  • Mark I. Modebei
    Department of Mathematics Programme, National Mathematical Centre, Abuja, Nigeria

Keywords:

Initial Value Problem, Boundary Value Problem, Block method, Linear Multistep Method, Hybrid method, mehod od lines

Abstract

This study is therefore aimed at developing classes of efficient numerical integration schemes, for direct solution of second-order Partial Differential Equations (PDEs) with the aid of the method of lines. The power series polynomials were used as basis functions for trial solutions in the derivation of the proposed schemes via collocation and interpolation techniques at some appropriately chosen grid and off-grid points the derived
schemes are consistent, zero-stable and convergent. the proposed methods perform better in terms of accuracy than some existing methods in the literature.

Dimensions

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Published

2021-02-25

How to Cite

Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines. (2021). Journal of the Nigerian Society of Physical Sciences, 3(1), 26-37. https://doi.org/10.46481/jnsps.2021.140

Issue

Volume 3, Issue 1, February 2021

Section

Original Research
Copyright & Licensing

Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences

Creative Commons License

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

How to Cite

Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines. (2021). Journal of the Nigerian Society of Physical Sciences, 3(1), 26-37. https://doi.org/10.46481/jnsps.2021.140

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