A delay differential equation solver based on the parallel Adams algorithms
Copyright policy )A delay differential equation solver based on the parallel Adams algorithms
A class of Adams type parallel methods is described in the context of solving large systems of delay differential equations. A convergence theorem is given stating that, for predictor and corrector methods of order \(p\), the proposed predictor-corrector scheme is convergent with the order \(p\). Another theorem give a sufficient condition for which the schemes are asymptotically stable. The numerical results proves the comparability in both computational time and computational accuracy of the proposed class of methods with some known methods for delay differential equations.
- Huazhong University of Science and Technology China (People's Republic of)
asymptotic stability, delay differential equations, convergence, large systems, Parallel numerical computation, numerical results, Numerical approximation of solutions of functional-differential equations, predictor and corrector methods, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, parallel Adams algorithms, parallel computation, Stability and convergence of numerical methods for ordinary differential equations
asymptotic stability, delay differential equations, convergence, large systems, Parallel numerical computation, numerical results, Numerical approximation of solutions of functional-differential equations, predictor and corrector methods, Numerical methods for initial value problems involving ordinary differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, parallel Adams algorithms, parallel computation, Stability and convergence of numerical methods for ordinary differential equations
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