Numerical solution of singularly perturbed <scp>2D</scp> parabolic initial‐boundary‐value problems based on reproducing kernel theory: Error and stability analysis

DOI10.1002/num.22706OpenAlexW3112691441MaRDI QIDQ6089065

Mehdi Ghasemi, Mojtaba Fardi

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22706

zbMATH Keywords

convergence analysiserror analysisapproximate solutionconvection-diffusionreaction-diffusionreproducing kernelsingularly perturbed problems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical optimization and variational techniques (65K10) Singular perturbations in context of PDEs (35B25) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Analyticity in context of PDEs (35A20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Solutions to PDEs in closed form (35C05) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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Heat kernel method for quintic and sextic equations in distributions and hyperfunctions, A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation

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