An effective approach for numerical solution of linear and nonlinear singular boundary value problems
From MaRDI portal
Publication:6182060
DOI10.1002/mma.8769zbMath1527.65059OpenAlexW4302024715MaRDI QIDQ6182060
Mehmet Giyas Sakar, Onur Saldır
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8769
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Cites Work
- Unnamed Item
- Unnamed Item
- Qualitative analysis and numerical solution of Burgers' equation via B-spline collocation with implicit Euler method on piecewise uniform mesh
- He's variational iteration method for treating nonlinear singular boundary value problems
- A novel approach for the solution of a class of singular boundary value problems arising in physiology
- A novel method for nonlinear two-point boundary value problems: Combination of ADM and RKM
- A new analytical and numerical treatment for singular two-point boundary value problems via the Adomian decomposition method
- Approximate solutions of singular two-point BVPs by modified homotopy analysis method
- Solution of singular two-point boundary value problems using differential transformation method
- Theory of reproducing kernels and applications
- Variable mesh polynomial spline discretization for solving higher order nonlinear singular boundary value problems
- B-spline solution of singular boundary value problems
- Numerical study for a class of singular two-point boundary value problems using Green's functions
- Chebyshev reproducing kernel method: application to two-point boundary value problems
- Numerical solution of nonlinear singular boundary value problems
- Numerical solution of singular two-point boundary value problems by the collocation method with the Chebyshev bases
- An iterative approximation for time-fractional Cahn-Allen equation with reproducing kernel method
- Numerical solution of singular boundary value problems via Chebyshev polynomial and B-spline
- Numerical solution of fractional Bratu type equations with Legendre reproducing kernel method
- Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets
- Integral methods for computing solutions of a class of singular two-point boundary value problems
- Higher order finite difference method for a class of singular boundary value problems
- Error estimation for the reproducing kernel method to solve linear boundary value problems
- Solving singular two-point boundary value problems using continuous genetic algorithm
- B-spline collocation methods and their convergence for a class of nonlinear derivative dependent singular boundary value problems
- A compact finite difference method for a general class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions
- A numerical study of the ferromagnetic flow of Carreau nanofluid over a wedge, plate and stagnation point with a magnetic dipole
- A mixed decomposition-spline approach for the numerical solution of a class of singular boundary value problems
- A hybrid method for singularly perturbed convection-diffusion equation
- Parametric spline method for a class of singular two-point boundary value problems
- Solving singular two-point boundary value problem in reproducing kernel space
- Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
- Theory and computation in singular boundary value problems
- Cubic spline for a class of nonlinear singular boundary value problems arising in physiology
- Cubic spline for a class of singular two-point boundary value problems
- A numerical approach based on ln-shifted Legendre polynomials for solving a fractional model of pollution
- SOLVING SINGULAR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEMS IN THE REPRODUCING KERNEL SPACE
- Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices
- Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point
- A fast and accurate computational technique for efficient numerical solution of nonlinear singular boundary value problems
- Numerical solution of fractional differential equations with a Tau method based on Legendre and Bernstein polynomials
- Using reproducing kernel for solving a class of singular weakly nonlinear boundary value problems