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In this paper we apply Adomian decomposition method to solve linear and nonlinear differential equations. Illustrative examples have been presented, to demonstrate the method. The results obtained are presented and show that only few terms are required to obtain an exact solution.
Waveform relaxation (WR) is conventionally a time domain algorithm for the solution of linear and nonlinear partial and ordinary differential equation problems. It is especially suited for large systems and parallel processing due to the large compute-to-communication ratio and its ability to break up large problems into smaller ones. In this paper, we investigate the new application of WR to linear...
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