Unconditionally stable numerical method for a nonlinear partial integro-differential equation

DOI10.1016/j.camwa.2013.10.010zbMath1350.65148OpenAlexW2076796464WikidataQ115359522 ScholiaQ115359522MaRDI QIDQ316421

Kapil K. Sharma, Nisha Kumari Sharma

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.10.010

zbMATH Keywords

stabilitynumerical exampleerror estimatesmagnetic fieldGalerkin finite element methodimplicit finite difference schemesemidiscretizationimplicit methodnonlinear integro-differential equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25)

Related Items (7)

Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems ⋮ Optimal error estimates of Galerkin method for a nonlinear parabolic integro-differential equation ⋮ Two‐dimensional collocation method for generalized partial integro‐differential equations of fractional order with applications ⋮ Fully discrete finite element scheme for nonlocal parabolic problem involving the Dirichlet energy ⋮ Finite element <scp>G</scp>alerkin approximations to a class of nonlinear and nonlocal parabolic problems ⋮ Finite element method for a nonlinear parabolic integro-differential equation in higher spatial dimensions ⋮ Finite element approximation of nonlocal parabolic problem

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