The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel

DOI10.1080/00207169608804502zbMath1001.65531OpenAlexW2026345384MaRDI QIDQ2710777

Khuri, Suheil A., Abdul-Majid Wazwaz

Publication date: 19 December 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169608804502

zbMATH Keywords

boundary integral equationlogarithmic kernelAdomian's method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20)

Related Items (10)

Multi-valued versions of Nadler, Banach, Branciari and Reich fixed point theorems in double controlled metric type spaces with applications ⋮ A reliable technique for solving the weakly singular second-kind Volterra-type integral equations ⋮ A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels ⋮ Convergence of the Adomian decomposition method for initial-value problems ⋮ A numerical scheme for solving a class of logarithmic integral equations arisen from two-dimensional Helmholtz equations using local thin plate splines ⋮ An Alternative Solution Algorithm for the Nonlinear Generalized Emden-Fowler Equation ⋮ Thin plate spline Galerkin scheme for numerically solving nonlinear weakly singular Fredholm integral equations ⋮ A note on the decomposition method for operator equations ⋮ New ideas for solving size-structured population models ⋮ On the decomposition method for the approximate solution of nonlinear ordinary differential equations

Cites Work

• On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation
• New results for convergence of Adomian's method applied to integral equations
• Some recent numerical methods for solving nonlinear Hammerstein integral equations
• A Fast Numerical Solution for a Second Kind Boundary Integral Equation with a Logarithmic Kernel
• A review of the decomposition method and some recent results for nonlinear equations
• Linear integral equations
• Unnamed Item

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