High-order nonlinear Volterra-Fredholm-Hammerstein integro-differential equations and their effective computation

DOI10.1016/j.amc.2014.08.074zbMath1338.45007OpenAlexW2087006029MaRDI QIDQ297741

Mustafa Turkyilmazoglu

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.074

zbMATH Keywords

Galerkin methodanalytic solutionnonlinear equationsbase functionsVolterra-Fredholm-Hammerstein equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (20)

Exponentially fitted difference scheme for singularly perturbed mixed integro-differential equations ⋮ An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations ⋮ A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations ⋮ Weak form quadrature solution of 2mth-order Fredholm integro-differential equations ⋮ A solution to a nonlinear Fredholm integro-differential equation ⋮ Parabolic Partial Differential Equations with Nonlocal Initial and Boundary Values ⋮ An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition ⋮ A study of error estimation for second order Fredholm integro-differential equations ⋮ New spectral second kind Chebyshev wavelets scheme for solving systems of integro-differential equations ⋮ Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials ⋮ Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations ⋮ Deviation of the error estimation for Volterra integro-differential equations ⋮ A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems ⋮ Unnamed Item ⋮ DEVIATION OF THE ERROR ESTIMATION FOR SECOND ORDER FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS ⋮ An improved reproducing kernel method for Fredholm integro-differential type two-point boundary value problems ⋮ Multi-block generalized Adams-type integration methods for differential algebraic equations ⋮ Numerical solution of space-time fractional Klein-Gordon equation by radial basis functions and Chebyshev polynomials ⋮ Galerkin-Levin method for highly oscillatory integrals

Cites Work

• Hybrid Legendre polynomials and block-pulse functions approach for nonlinear Volterra-Fredholm integro-differential equations
• Monotone iterative sequences for nonlinear integro-differential equations of second order
• A series solution of the nonlinear Volterra and Fredholm integro-differential equations
• Sinc numerical solution for the Volterra integro-differential equation
• A composite collocation method for the nonlinear mixed Volterra-Fredholm-Hammerstein integral equations
• An efficient numerical approximation for the linear class of Fredholm integro-differential equations based on Cattani's method
• The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro-differential equations
• Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions
• Legendre polynomial solutions of high-order linear Fredholm integro-differential equations
• Effective computation of exact and analytic approximate solutions to singular nonlinear equations of Lane-Emden-Fowler type
• Taylor polynomial solutions of nonlinear Volterra-Fredholm integral equations
• Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
• An effective approach for numerical solutions of high-order Fredholm integro-differential equations
• Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions
• Computational Methods for Integral Equations
• Exponential attractors for non-autonomous systems: Long-time behaviour of vibrating beams

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