Efficient Legendre pseudospectral method for solving integral and integro-differential equations

DOI10.1016/j.cnsns.2009.07.012zbMath1222.65144OpenAlexW2034418652MaRDI QIDQ720041

D. Kharzeev

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.07.012

zbMATH Keywords

integro-differential equationsintegral equationsLegendre polynomialsbound errorintegration matrices

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (5)

A pseudospectral scheme and its convergence analysis for high-order integro-differential equations ⋮ Unnamed Item ⋮ Development of Galerkin method for solving the generalized Burger's-Huxley equation ⋮ INTERACTIVE CHEBYSHEV–LEGENDRE ALGORITHM FOR LINEAR QUADRATIC OPTIMAL REGULATOR SYSTEMS ⋮ Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A method for numerical integration on an automatic computer
• An integral Chebyshev expansion method for boundary-value problems of O.D.E. type
• Numerical solution of a class of integro-differential equations by the tau method with an error estimation
• Numerical solution of Volterra integro-differential equations by the tau method with the Chebyshev and Legendre bases
• A Pointwise Quasi-Newton Method for Integral Equations
• A Spectral Element Technique with a Local Spectral Basis
• Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
• Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
• A Fast Multilevel Algorithm for Integral Equations
• Chebyshev Solution of Differential, Integral and Integro-Differential Equations

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