A parameter uniform orthogonal spline collocation method for singularly perturbed semilinear reaction-diffusion problems in one dimension
Author:
Affiliation:
1. Department of Mathematics, South Asian University, Akbar Bhavan, Chanakypuri, New Delhi, India;
2. American Mathematical Society, Ann Arbor, Michigan, USA
Funder
Department of Science and Technology, Government of India
National Program on Differential Equations: Theory, Computation and Applications
Publisher
Informa UK Limited
Subject
Computational Mathematics,Computational Mechanics
Link
https://www.tandfonline.com/doi/pdf/10.1080/15502287.2019.1600074
Reference26 articles.
1. Uniform fourth order difference scheme for a singular perturbation problem
2. Spline Techniques for Solving Singularly-Perturbed Nonlinear Problems on Nonuniform Grids
3. Stabilised approximation of interior-layer solutions of a singularly perturbed semilinear reaction–diffusion problem
4. B-Spline Collocation Method for Nonlinear Singularly-Perturbed Two-Point Boundary-Value Problems
5. Parameter-uniformly convergent exponential spline difference scheme for singularly perturbed semilinear reaction–diffusion problems
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1. Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction–diffusion problems;BMC Research Notes;2023-11-29
2. Error Estimate in the Balanced Norm for the Singularly Perturbed Reaction–Diffusion Problems;International Journal of Applied and Computational Mathematics;2023-08-10
3. An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem;Journal of Mathematical Chemistry;2022-06-06
4. High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems;Numerical Methods for Partial Differential Equations;2019-11-06
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