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Your search keyword '"Hariharan, G."' showing total 8 results
Start Over Author "Hariharan, G." Topic homotopy analysis method
8 results on '"Hariharan, G."'

7. An efficient wavelet-based approximation method to gene propagation model arising in population biology

Author

Hariharan G, R. RAJARAMAN, and Sathiya Seelan

Subjects
Models, Genetic, Physiology, Differential equation, Legendre wavelet, Biophysics, Cell Biology, Models, Theoretical, Legendre's equation, Nonlinear system, Algebraic equation, symbols.namesake, Wavelet, Genetics, Population, symbols, Applied mathematics, Fisher's equation, Homotopy analysis method, Algorithms, Mathematics
Abstract

In this paper, we have applied an efficient wavelet-based approximation method for solving the Fisher's type and the fractional Fisher's type equations arising in biological sciences. To the best of our knowledge, until now there is no rigorous wavelet solution has been addressed for the Fisher's and fractional Fisher's equations. The highest derivative in the differential equation is expanded into Legendre series; this approximation is integrated while the boundary conditions are applied using integration constants. With the help of Legendre wavelets operational matrices, the Fisher's equation and the fractional Fisher's equation are converted into a system of algebraic equations. Block-pulse functions are used to investigate the Legendre wavelets coefficient vectors of nonlinear terms. The convergence of the proposed methods is proved. Finally, we have given some numerical examples to demonstrate the validity and applicability of the method.

Published
2014

8. A homotopy analysis method for the nonlinear partial differential equations arising in engineering.

Author

Hariharan, G.

Subjects
HOMOTOPY theory, PARTIAL differential equations, STOCHASTIC convergence, GAS dynamics, SCHRODINGER equation
Abstract

In this article, we have established the homotopy analysis method (HAM) for solving a few partial differential equations arising in engineering. This technique provides the solutions in rapid convergence series with computable terms for the problems with high degree of nonlinear terms appearing in the governing differential equations. The convergence analysis of the proposed method is also discussed. Finally, we have given some illustrative examples to demonstrate the validity and applicability of the proposed method. [ABSTRACT FROM AUTHOR]

Published
2017
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