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A Handy Approximation Technique for Closedform and Approximate Solutions of Time- Fractional Heat and Heat-Like Equations with Variable Coefficients

Edeki, S.O. and Akinlabi, G. O. and Akeju, A.O. (2016) A Handy Approximation Technique for Closedform and Approximate Solutions of Time- Fractional Heat and Heat-Like Equations with Variable Coefficients. In: World Congress on Engineering, June 29 - July 1, 2016, London, U.K..

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Abstract

In this paper, we propose a handy approximation technique (HAT) for obtaining both closed-form and approximate solutions of time-fractional heat and heat-like equations with variable coefficients. The method is relatively recent, proposed via the modification of the classical Differential Transformation Method (DTM). It devises a simple scheme for solving the illustrative examples, and some similar PDEs. Besides being handy, the results obtained converge faster to their exact forms. This shows that this modified DTM (MDTM) is very efficient and reliable. It involves less computational work, even without given up accuracy. Therefore, we strongly recommend it for solving both linear and nonlinear time-fractional partial differential equations (PDEs) with applications in other aspects of pure and applied sciences, management, and finance.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: time-fractional differential equations; modified DTM; heat and heat-like equations; variable coefficients, closed-form solutions
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Hannah Akinwumi
Date Deposited: 24 Jan 2017 10:30
Last Modified: 24 Jan 2017 10:30
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/7647

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