International Journal of Mathematics Trends and Technology
Volume 67 | Issue 4 | Year 2021 | Article Id. IJMTT-V67I4P506 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I4P506
In this paper, the Tanh-coth and Banach contraction methods are proposed to solve the Burgers-Huxley and Kuramoto-Sivashinsky equations. The equations under study were first transformed into ordinary differential equations using specialized wave transformations as in Tanh-coth where solitary solutions were obtained, whereas the Banach contraction method gives an analytical solution after a finite number of iterations depending on the parameters. The result obtained showed, the methods are easy to implement, computationally less time consuming, accurate, reliable, promising and efficient.
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Liberty Ebiwareme, "Banach Contraction Method and Tanh-coth Approach for the Solitary and Exact Solutions of Burger-Huxley and Kuramoto-Sivashinsky Equations.," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 4, pp. 31-46, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I4P506
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