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Abstract

Open Access Biostatistics & Bioinformatics

Reduced Step Point Collocation Interpolation Method for the Solution of Heat Equation

  • Open or Close Sunday Babuba*

    Department of Mathematics, Federal University Dutse, Nigeria

    *Corresponding author: Sunday Babuba, Department of Mathematics, Federal University Dutse, Jigawa, Nigeria

Submission: April 04, 2018; Published: July 09, 2018

DOI: 10.31031/OABB.2018.02.000529

ISSN 2578-0247
Volume2 Issue1

Abstract

In this study, we developed a new finite difference approximate method for solving heat equations. We study the numerical accuracy of the method. Detailed numerical results have shown that the method provides better results than the known explicit finite difference method. There is no semidiscretization involved and no reduction of PDE to a system of ODEs in the new approach, but rather a system of algebraic equations directly results.

Keywords: Lines; Multistep collocation; Parabolic; Taylor’s polynomial

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