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

N. Parumasur | Zendy; P. Singh | Zendy; V. Singh | Zendy

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

Author(s) -

N. Parumasur,

P. Singh,

V. Singh

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/925276

Subject(s) - ode , boundary value problem , mathematics , range (aeronautics) , domain (mathematical analysis) , focus (optics) , mathematical analysis , mathematical optimization , computer science , physics , engineering , optics , aerospace engineering

A computational technique based on asymptotic analysis for solving singularly perturbed ODE systems involving a small parameter 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 and the resulting approximation is compared with the direct numerical solution. The convection-diffusion problem from fluidmechanics and the telegraph equation from electrical engineering are considered

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