Reproducing kernel method for solving nonlinear differential-difference equations

DOI10.1155/2012/514103zbMath1251.34080OpenAlexW2131820185WikidataQ58695392 ScholiaQ58695392MaRDI QIDQ448719

Fereshteh Toutian Isfahani, Maryam Mohammadi, Reza Mokhtari

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/514103

zbMATH Keywords

convergencereproducing kernel Hilbert spacenonlinear differential-difference equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Theoretical approximation of solutions to functional-differential equations (34K07)

Related Items (9)

Numerical solution of some initial optimal control problems using the reproducing kernel Hilbert space technique ⋮ Approximate solutions for MHD squeezing fluid flow by a novel method ⋮ Solving a class of singularly perturbed partial differential equation by using the perturbation method and reproducing kernel method ⋮ A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers' equations ⋮ Some error estimates for solving Volterra integral equations by using the reproducing kernel method ⋮ Solving a class of singular fifth-order boundary value problems using reproducing kernel Hilbert space method ⋮ Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers ⋮ A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF NONLINEAR SYSTEMS OF PDES ⋮ CONVERGENCE ORDER OF THE REPRODUCING KERNEL METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

Uses Software

• DDESpecialSolutions

Cites Work

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• New applications of He's homotopy perturbation method for nonlinear differential difference equations
• He's homotopy perturbation method for nonlinear differential-difference equations
• Variable separation approach for a differential-difference system: special Toda equation
• Theory of Reproducing Kernels

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