Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

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Mirzaee Farshid; Samadyar Nasrin

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Journal: MATHEMATICAL RESEARCHES Year:2018 | Volume:4 | Issue:1 Page(s): 91-104

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Information Journal Paper

Title

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

Author(s)

Mirzaee Farshid | Samadyar Nasrin | Issue Writer Certificate

Keywords

Stochastic integral equationsQ1

Volterra integral equationsQ1

Singular integral equationsQ1

Operational matrix methodQ1

Euler polynomialsQ1

Abstract

Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations. Weakly singular integral equation is one of the principle type of integral equations which was introduced by Abel for the first time. These problems are often dependent on a noise source which are neglected due to poor computational tools. ...

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APA: Copy

Mirzaee, Farshid, & Samadyar, Nasrin. (2018). Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials. MATHEMATICAL RESEARCHES, 4(1 ), 91-104. SID. https://sid.ir/paper/260802/en

Vancouver: Copy

Mirzaee Farshid, Samadyar Nasrin. Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials. MATHEMATICAL RESEARCHES[Internet]. 2018;4(1 ):91-104. Available from: https://sid.ir/paper/260802/en

IEEE: Copy

Farshid Mirzaee, and Nasrin Samadyar, “Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials,” MATHEMATICAL RESEARCHES, vol. 4, no. 1 , pp. 91–104, 2018, [Online]. Available: https://sid.ir/paper/260802/en

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