Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation | Zendy

José António | Zendy; J. A. Tenreiro Machado | Zendy; Afshin Babaei | Zendy; Behrouz Parsa Moghaddam | Zendy

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Highly Accurate Scheme for the Cauchy Problem of the Generalized Burgers-Huxley Equation

Author(s) -

José António,

J. A. Tenreiro Machado,

Afshin Babaei,

Behrouz Parsa Moghaddam

Publication year - 2016

Publication title -

acta polytechnica hungarica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.277

H-Index - 34

eISSN - 2064-2687

pISSN - 1785-8860

DOI - 10.12700/aph.13.6.2016.6.10

Subject(s) - scheme (mathematics) , mathematics , burgers' equation , cauchy distribution , initial value problem , mathematical analysis , cauchy problem , partial differential equation

In this paper, a weighted algorithm, based on the reduced differential transform method, is introduced. The new approach is adopted in the approximate analytical solution of the Cauchy problem for the Burgers-Huxley equation. The proposed scheme considers the initial and boundary conditions simultaneously for obtaining a solution of the equation. Several examples are discussed demonstrating the performance of the algorithm.

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