A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions

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Doostdar Mohammad Reza; Kazemi Manochehr; VAHIDI ALIREZA

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2023 | Volume:11 | Issue:2 Page(s): 241-253

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Information Journal Paper

Title

A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions

Author(s)

Doostdar Mohammad Reza | Kazemi Manochehr | VAHIDI ALIREZA | Issue Writer Certificate

Keywords

Integral boundary conditions

Boundary value problem

Duffing equation

Hybrid functions

Legendre polynomials

Abstract

This paper presents an efficient numerical method to solve two versions of the Duffing equation by the Hybrid functions based on the combination of Block-pulse functions and Legendre polynomials. This method reduces the solution of the considered problem to the solution of a system of algebraic equations. Moreover, the convergence of the method is studied. Some examples are given to demonstrate the applicability and effectiveness of the proposed method. Also, the obtained results are compared with some other results.

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APA: Copy

Doostdar, Mohammad Reza, Kazemi, Manochehr, & VAHIDI, ALIREZA. (2023). A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 11(2), 241-253. SID. https://sid.ir/paper/1057611/en

Vancouver: Copy

Doostdar Mohammad Reza, Kazemi Manochehr, VAHIDI ALIREZA. A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2023;11(2):241-253. Available from: https://sid.ir/paper/1057611/en

IEEE: Copy

Mohammad Reza Doostdar, Manochehr Kazemi, and ALIREZA VAHIDI, “A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 11, no. 2, pp. 241–253, 2023, [Online]. Available: https://sid.ir/paper/1057611/en

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