Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions

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BABAEI ELNAZ; HASHEMIZADEH ELHAM

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Journal: MATHEMATICAL RESEARCHES Year:2020 | Volume:5 | Issue:2 Page(s): 121-136

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Title

Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions

Author(s)

BABAEI ELNAZ | HASHEMIZADEH ELHAM | Issue Writer Certificate

Keywords

Fredholm-Hammerstein integral equationsQ1

Modification of Hat functionsQ1

Operational matrixQ1

System of integral equationsQ1

Abstract

Introduction: A System of integral equations can describe different kind of problems in sciences and engineering. There are many different methods for numerical solution of linear and nonlinear System of integral equations. Material and methods: This paper proposed a numerical method based on Modification of Hat functions for solving system of Fredholm-Hammerstein integral equations. The proposed method reduced a system of integral equation to a system of algebraic equations that can be solved easily by known methods. Results and discussion: For showing the accuracy and capability of the proposed method, some numerical examples are proposed that their results compared by results of other methods, and shows the capability and the superiority of this method to other existed methods. Also this paper derived the computational cost and the error analysis of the proposed method. Conclusion: The following conclusions were drawn from this research. This paper proposed a numerical method based on Modification of Hat functions for solving system of Fredholm-Hammerstein integral equations. The proposed method reduced a system of integral equation to a system of algebraic equations that can be solved easily by known methods. The presented error analysis and solved problems show capability and the superiority of this method to other existed methods.

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APA: Copy

BABAEI, ELNAZ, & HASHEMIZADEH, ELHAM. (2020). Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions. MATHEMATICAL RESEARCHES, 5(2 ), 121-136. SID. https://sid.ir/paper/379944/en

Vancouver: Copy

BABAEI ELNAZ, HASHEMIZADEH ELHAM. Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions. MATHEMATICAL RESEARCHES[Internet]. 2020;5(2 ):121-136. Available from: https://sid.ir/paper/379944/en

IEEE: Copy

ELNAZ BABAEI, and ELHAM HASHEMIZADEH, “Numerical Solution of System of Fredholm-Hammerstein Integral Equations using Modification of Hat Functions,” MATHEMATICAL RESEARCHES, vol. 5, no. 2 , pp. 121–136, 2020, [Online]. Available: https://sid.ir/paper/379944/en

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