NUMERICAL STUDY OF MULTI PARAMETER BOUNDARY LAYER PROBLEMS: Numerical Methods for Two -Parameters Singularly Perturbed Boundary Value Problems - Softcover

Inhaltsangabe

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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