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Robust numerical method for singularly perturbed semilinear parabolic differential difference equations
- Source :
- Mathematics and Computers in Simulation. 188:537-547
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- This paper deals with the robust numerical method for solving the singularly perturbed semilinear partial differential equation with the spatial delay. The quadratically convergent quasilinearization technique is used to linearize the semilinear term. It is formulated by discretization of the solution domain and then replacing the differential equation by finite difference approximation that in turn gives the system of algebraic equations. The method is shown to be first-order convergent. It is observed that the convergence is independent of the perturbation parameter. Numerical illustrations are investigated on model examples to support the theoretical results and the effectiveness of the method.
- Subjects :
- Quadratic growth
Numerical Analysis
Partial differential equation
General Computer Science
Discretization
Differential equation
Applied Mathematics
Numerical analysis
Finite difference
Domain (mathematical analysis)
Theoretical Computer Science
Algebraic equation
Modeling and Simulation
Applied mathematics
Mathematics
Subjects
Details
- ISSN :
- 03784754
- Volume :
- 188
- Database :
- OpenAIRE
- Journal :
- Mathematics and Computers in Simulation
- Accession number :
- edsair.doi...........1b5d3c15357291fe6753fd0d198b71bc