Analytical approach to approximate the solution of Volterra and Fredholm integral equations

DOI10.1007/S40819-022-01432-ZzbMath1503.65316OpenAlexW4295995870WikidataQ114218540 ScholiaQ114218540MaRDI QIDQ2101324

Yanyan Li

Publication date: 5 December 2022

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

Full work available at URL: https://doi.org/10.1007/s40819-022-01432-z

zbMATH Keywords

approximate solutionoptimal homotopy asymptotic methodVolterra and Fredholm integral equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Cites Work

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• Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method
• Application of homotopy-perturbation method to the second kind of nonlinear integral equations
• Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
• Numerical solution of Volterra partial integro-differential equations based on sinc-collocation method
• Optimal homotopy asymptotic method for solving the linear Fredholm integral equations of the first kind
• Solving Cauchy integral equations of the first kind by the Adomian decomposition method
• Semi analytical solutions of second type of three-dimensional Volterra integral equations
• Using Sinc-collocation method for solving weakly singular Fredholm integral equations of the first kind
• Solving integral equations of the first kind by decomposition method

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