Solving nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space

DOI10.1007/s11075-009-9263-6zbMath1180.65129OpenAlexW2054416167MaRDI QIDQ735066

Ying-Zhen Lin, YongFang Zhou

Publication date: 14 October 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9263-6

zbMATH Keywords

convergencenumerical examplenonlocal boundary conditionsreproducing kernel space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (9)

On Stability Analysis of Finite-Difference Schemes for Some Parabolic Problems with Nonlocal Boundary Conditions ⋮ Unnamed Item ⋮ Option pricing using a computational method based on reproducing kernel ⋮ Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions ⋮ Solving nonlocal initial-boundary value problems for parabolic and hyperbolic integro-differential equations in reproducing kernel hilbert space ⋮ A reproducing kernel Hilbert space method for solving integro-differential equations of fractional order ⋮ A reproducing kernel Hilbert space method for solving systems of fractional integrodifferential equations ⋮ Unnamed Item ⋮ A REPRODUCING KERNEL METHOD FOR SOLVING A CLASS OF NONLINEAR SYSTEMS OF PDES

Cites Work

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