A novel fitted operator finite difference method for a singularly perturbed delay parabolic partial differential equation

We design a robust fitted operator finite difference method for the numerical solution of a singularly perturbed delay parabolic partial differential equation. This method is unconditionally stable and is convergent with order O ( k + h 2 ) , where k and h are respectively the time and space step-si...

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Veröffentlicht in:	Applied mathematics and computation 2011, Vol.217 (9), p.4728-4739
Hauptverfasser:	Bashier, E.B.M., Patidar, K.C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Combinatorics. Ordered structures Convergence Delay Delay parabolic partial differential equation Derivatives Designs and configurations Exact sciences and technology Finite difference method Fitted operator finite difference methods Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Operators Partial differential equations Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Singular perturbations Stability
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