Computationally Efficient Technique for Solving ODE Systems Exhibiting Initial and Boundary Layers

N. Parumasur, P. Singh and V. Singh

Mathematical Problems in Engineering, 2009, vol. 2009, 1-15

Abstract:

A computational technique based on asymptotic analysis for solving singularly perturbed ODE systems involving a small parameter 𠜖 is considered. The focus is on second-order systems, but the procedure is also applicable for first-order systems. Both initial value and boundary value problems will be solved. The application of the method is considered over the entire time domain for a wide range of 𠜖 and the resulting approximation is compared with the direct numerical solution. The convection-diffusion problem from fluid mechanics and the telegraph equation from electrical engineering are considered.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:925276

DOI: 10.1155/2009/925276

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