New spectral second kind Chebyshev wavelets scheme for solving systems of integro-differential equations

DOI10.1007/s40819-016-0157-8zbMath1397.65329OpenAlexW2294092524MaRDI QIDQ1788194

A. M. Nagy, Ismail K. Youssef, Mahmoud M. Mokhtar, Nasser Hassan Sweilam

Publication date: 8 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0157-8

zbMATH Keywords

waveletscollocation methodssecond kind Chebyshev polynomialssystems of integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for wavelets (65T60)

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Cites Work

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• High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation
• Subharmonic solutions of nonautonomous second order differential equations with singular nonlinearities
• A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
• Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• Second kind shifted Chebyshev polynomials for solving space fractional order diffusion equation
• Shifted Legendre direct method for variational problems
• Walsh operational matrices for fractional calculus and their application to distributed systems
• Effective computation of exact and analytic approximate solutions to singular nonlinear equations of Lane-Emden-Fowler type
• Fite-Wintner-Leighton-type oscillation criteria for second-order differential equations with nonlinear damping
• New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds
• An effective approach for numerical solutions of high-order Fredholm integro-differential equations
• The linear Legendre mother wavelets operational matrix of integration and its application
• Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials
• Shifted Chebyshev direct method for solving variational problems
• The Haar wavelets operational matrix of integration