Application of the SBA Method for Solving the Partial Differential Equation

Nkaya, Gires Dimitri; Bassono, Francis; Yaro, Rasmané; Yindoula, Joseph Bonazebi; Bissanga, Gabriel

doi:10.5539/jmr.v10n6p98

Cited by 2 publications

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“…In this paper, we solve some nonlinear integro-differential equations by the Laplace-Somé Blaise Abbo (SBA) method initiated by African mathematicians, particularly those of Burkina Faso [6], and Congo-Brazzaville [7,8].…”

Section: Introductionmentioning

confidence: 99%

About Exact Solution of Some Non Linear Partial Integro-differential Equations

Bassono¹,

Yaro²,

Yindoula³

et al. 2021

ACM

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Data on solving of nonlinear integro-differential equations using Laplace-SBA method are scarce. The objective of this paper is to determine exact solution of nonlinear 2 dimensionnal Voltera-Fredholm differential equation by this method. First, SBA method and Laplace SBA method are described. Second, three nonlinear Voolterra-Fredholm integro-differential equations are solved using each method. Application of each method give an exact solution. However, application of Laplace-SBA method permits for solve integro-differential equation compared with SBA method. This proves that this last method can be fruitfully applied in the resolution of integro-differential equations.

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Section: Introductionmentioning

confidence: 99%

About Exact Solution of Some Non Linear Partial Integro-differential Equations

Bassono¹,

Yaro²,

Yindoula³

et al. 2021

ACM

Self Cite

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show abstract

“…However, most solutions of urger's partial differential equations (coupled or not ) by these methods are rarely exact. Or the Some Blaise Abbo (SBA) method is a powerful to solve non linear PDES [1], [2], [12], [13], [15], [16], [17], [18]. By determining the exact solutions.…”

Section: Introductionmentioning

confidence: 99%

Laplace-SBA Method for Solving Nonlinear Coupled Burger's Equations

Yindoula

2021

Eur. J. Pure Appl. Math.

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Burgerâ€™s equations, an extension of fluid dynamics equations, are typically solved by several numerical methods. In this article, the laplace-SomÃ© Blaise Abbo method is used to solve nonlinear Burger equations. This method is based on the combination of the laplace transform and the SBA method. After reminders of the laplace transform, the basic principles of the SBA method are described. The process of calculating the Laplace-SBA algorithm for determining the exact solution of a linear or nonlinear partial derivative equation is shown. Thus, three examplesof PDE are solved by this method, which all lead to exact solutions. Our results suggest that this method can be extended to other more complex PDEs.

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Application of the SBA Method for Solving the Partial Differential Equation

Abstract: Application of the SBA Method for Solving the Partial Differential Equation

Cited by 2 publications

References 0 publications

About Exact Solution of Some Non Linear Partial Integro-differential Equations

About Exact Solution of Some Non Linear Partial Integro-differential Equations

Laplace-SBA Method for Solving Nonlinear Coupled Burger's Equations

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