The Journal of the Indian Mathematical Society

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Homotopy-Laplace Decomposition Method to Solve Nonlinear Differential-difference Equations


Affiliations
1 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 570 006, India
2 Department of Mathematics, S.S.S.S. Govt. First Grade College, Channagiri, Davangere - 577 213, India
     

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In the recent literature, nonlinear differential equations, integro- differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the recent literature, nonlinear dierential equations, integro-differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the literature to solve above nonlinear problems. In the present paper a new method is proposed motivated by the above two methods to solve both nonlinear differential-difference equations and integro-differential-difference equations.

Keywords

Differential-Difference Equation, Integro-Differential-Difference Equation, Laplace Transform, Adomian Polynomials, Laplace Decomposition Method and Homotopy Analysis Method.
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  • Homotopy-Laplace Decomposition Method to Solve Nonlinear Differential-difference Equations

Abstract Views: 241  |  PDF Views: 1

Authors

R. Rangarajan
Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore - 570 006, India
S. R. Ananth Kumar
Department of Mathematics, S.S.S.S. Govt. First Grade College, Channagiri, Davangere - 577 213, India

Abstract


In the recent literature, nonlinear differential equations, integro- differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the recent literature, nonlinear dierential equations, integro-differential equations, differential-difference equations and integro-differential-difference equations are studied. Laplace decomposition method and Homotopy analysis method are two powerful decomposition methods employed in the literature to solve above nonlinear problems. In the present paper a new method is proposed motivated by the above two methods to solve both nonlinear differential-difference equations and integro-differential-difference equations.

Keywords


Differential-Difference Equation, Integro-Differential-Difference Equation, Laplace Transform, Adomian Polynomials, Laplace Decomposition Method and Homotopy Analysis Method.

References