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Open Access Biostatistics & Bioinformatics
Reduced Step Point Collocation Interpolation Method for the Solution of Heat Equation
Sunday Babuba*
Department of Mathematics, Federal University Dutse, Nigeria
*Corresponding author: Sunday Babuba, Department of Mathematics, Federal University Dutse, Jigawa, Nigeria.
Submission: April 4, 2018;Published: July 09, 2018
ISSN: 2578-0247Volume2 Issue 1
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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