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Numerical Study of Multi Parameter Boundary Layer Problems

Numerical Study of Multi Parameter Boundary Layer Problems

Paperback

General Mathematics

ISBN10: 6208442672
ISBN13: 9786208442675
Publisher: LAP Lambert Academic Publishing
Published: Apr 15 2025
Pages: 116
Weight: 0.36
Height: 0.28 Width: 6.00 Depth: 9.00
Language: English
This book aims to present, analyze, and evaluate various straightforward and effective numerical methodologies for addressing two-parameter boundary layer problems, also referred to as singularly perturbed two-parameter boundary value problems, which exhibit dual boundary layer characteristics in their solutions. The book comprises five chapters. Chapter -1 delves into elucidating the definition and rationale behind singular perturbation problems, as well as singularly perturbed two parameters boundary value problems. A fourth order computational scheme with an exponential spline, a numerical scheme using an adaptive cubic spline function, a completely exponential fitted second order finite difference method, a completely exponential fitted modified upwind finite difference method for the solution of two parameters singularly perturbed two-point boundary value problems having dual layers are proposed in the remaining four chapters. These approaches may be applied to solve differential-difference equations with several parameters, as well as higher order order singular perturbation problems. The approaches proposed are efficient for doing computations with minimal computing effort.

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General Mathematics