An efficient numerical approximation for the linear class of Fredholm integro-differential equations based on Cattani's method

DOI10.1016/j.cnsns.2010.09.037zbMath1221.65332OpenAlexW1988931444MaRDI QIDQ718589

Khosrow Maleknejad, Maryam Attary

Publication date: 23 September 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.2010.09.037

zbMATH Keywords

Fredholm integro-differential equationsnumerical treatmentsCattani's connection coefficientsShannon wavelets approximation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Volterra integral equations (45D05)

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Cites Work

• Harmonic wavelets towards the solution of nonlinear PDE
• Shannon wavelets for the solution of integrodifferential equations
• Shannon wavelets theory
• A reliable technique for solving the weakly singular second-kind Volterra-type integral equations
• Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• A new computational method for Volterra-Fredholm integral equations
• The numerical solution of integro-differential equation by means of the Sinc method
• Numerical piecewise approximate solution of Fredholm integro-differential equations by the tau method
• Numerical solution of Volterra integro-differential equations by the tau method with the Chebyshev and Legendre bases
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