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On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ

Authors: ADIO Adesina

Publication Type: Journal article

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Abstract

In this research article, we are concerned about finding exact and approximate solutions to coupled systems of nonlinear PDEs using the Natural Decomposition Method (NDM). We applied this method to obtain exact solution of (1+1)-dimensional nonlinear Boussinesq Equation and approximate numerical solution of the Broer-Kaup (BK) system of equations .The approximate numerical solutions are calculated in power series form with easily computable components and obtained result are in good agreement with the exact solutions. The application further demonstrates the efficiency and accuracy of the method as it reduces significantly the numerical computations as compared to some other known techniques. The method is effective and applicable for many other NPDEs in mathematical physics.

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ADIO,A. . (0000). On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ, 0 (), 0-0.

ADIO,A. . "On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ" 0, no (), (0000): 0-0.

ADIO,A. and . (0000). On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ, 0 (), pp0-0.

ADIOA, . On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ. 0000, 0 ():0-0.

ADIO,Adesina , . "On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ", 0 . (0000) : 0-0.

A.Adesina , "On the Exact and Approximate Solutions of Coupled Systems of Nonlinear Partial Differential Equ" vol.0, no., pp. 0-0, 0000.

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