A Handy Approximation Technique for Closedform and Approximate Solutions of Time- Fractional Heat and Heat-Like Equations with Variable Coefficients
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Abstract
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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.
Keywords
Q Science (General), QA Mathematics