A new method for solving a class of mixed boundary value problems with singular coefficient

DOI10.1016/j.amc.2010.08.011zbMath1202.65095OpenAlexW2129595783MaRDI QIDQ606852

Sumit K. Garg

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.08.011

zbMATH Keywords

analytical solutionnumerical examplesreproducing kernelmixed boundary value problemsadjoint operatorsingular coefficient

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (9)

Numerical simulation for a class of predator-prey system with homogeneous Neumann boundary condition based on a sinc function interpolation method ⋮ Numerical solution of a class of time-fractional order diffusion equations in a new reproducing kernel space ⋮ Numerical solution of the multiterm time‐fractional diffusion equation based on reproducing kernel theory ⋮ Numerical solution of singularly perturbed <scp>2D</scp> parabolic initial‐boundary‐value problems based on reproducing kernel theory: Error and stability analysis ⋮ The solution of a class of singularly perturbed two-point boundary value problems by the iterative reproducing kernel method ⋮ A numerical approach for solving the high-order linear singular differential-difference equations ⋮ Using reproducing kernel for solving a class of fractional order integral differential equations ⋮ The solution of a class of third-order boundary value problems by the reproducing kernel method ⋮ A pseudo-spectral method based on reproducing kernel for solving the time-fractional diffusion-wave equation

Cites Work

• A new algorithm for a class of singular boundary value problems
• Analytic solutions to a class of nonlinear infinite-delay-differential equations
• Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space
• Using reproducing kernel for solving a class of partial differential equation with variable-coefficients
• Solving singular nonlinear second-order periodic boundary value problems in the reproducing kernel space
• New algorithm for second-order boundary value problems of integro-differential equation
• Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems

This page was built for publication: A new method for solving a class of mixed boundary value problems with singular coefficient