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- W2971366552 abstract "Purpose The purpose of this paper is to develop a new method based on operational matrices of two-dimensional delta functions for solving two-dimensional nonlinear quadratic integral equations (2D-QIEs) of fractional order, numerically. Design/methodology/approach For this aim, two-dimensional delta functions are introduced, and their properties are expressed. Then, the fractional operational matrix of integration based on two-dimensional delta functions is calculated for the first time. Findings By applying the operational matrices, the main problem would be transformed into a nonlinear system of algebraic equations which can be solved by using Newton's iterative method. Also, a few results related to error estimate and convergence analysis of the proposed method are investigated. Originality/value Two numerical examples are presented to show the validity and applicability of the suggested approach. All of the numerical calculation is performed on a personal computer by running some codes written in MATLAB software." @default.
- W2971366552 created "2019-09-12" @default.
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- W2971366552 date "2019-11-04" @default.
- W2971366552 modified "2023-10-02" @default.
- W2971366552 title "Solving two-dimensional non-linear quadratic integral equations of fractional order via operational matrix method" @default.
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- W2971366552 doi "https://doi.org/10.1108/mmms-10-2018-0168" @default.
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