Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra-Fredholm integral equations

DOI10.1016/j.joems.2017.03.002zbMath1377.65172OpenAlexW2595691836MaRDI QIDQ1680608

R. A. Taher, Doaa Shokry Mohamed

Publication date: 16 November 2017

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2017.03.002

zbMATH Keywords

numerical exampleChebyshev polynomialsLegendre polynomialscollocation pointstwo dimensional integral equationsVolterra-Fredholm singular integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (1)

Numerical solution of nonlinear stochastic Itô-Volterra integral equations based on Haar wavelets

Cites Work

• The Legendre wavelet method for solving initial value problems of Bratu-type
• Legendre wavelets method for solving differential equations of Lane-Emden type
• A reliable treatment for mixed Volterra-Fredholm integral equations
• A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
• Legendre wavelets method for the solution of nonlinear problems in the calculus of variations
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