Turning point analysis of the concave steady-state solutions for nonlinear singularly perturbed heat transfer equation

Vrabel, Robert; Pavliak, Dusan; Liska, Vladimir; Mankova, Ingrid

doi:10.12988/ijma.2013.35130

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“…Physical quantities, numerically characterizing these elements enter into the model as parameters [1], [2]. [3], [4].…”

Section: Introductionmentioning

confidence: 99%

Design of effective numerical scheme for solving systems with high-speed feedback

Bajčičáková¹,

Kopcek²,

Šútova³

2013

ijma

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This article deals with the design of effective numerical scheme for solving three point boundary value problem for second-order nonlinear singularly perturbed differential equations with initial conditions. The obtained system of nonlinear algebraic equations is solved by Newthon-Raphson method in MATLAB. It also verifies the convergence of approximate solutions of an original problem to the solution of reduced problem.

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“…Physical quantities, numerically characterizing these elements enter into the model as parameters [1], [2]. [3], [4].…”

Section: Introductionmentioning

confidence: 99%

Design of effective numerical scheme for solving systems with high-speed feedback

Bajčičáková¹,

Kopcek²,

Šútova³

2013

ijma

View full text Add to dashboard Cite

show abstract

Turning point analysis of the concave steady-state solutions for nonlinear singularly perturbed heat transfer equation

Abstract: In this paper, the method for determining of turning point location of concave solutions for some class of singularly perturbed nonlinear differential equations subject to the Dirichlet boundary conditions is proposed.

Cited by 1 publication

References 6 publications

Design of effective numerical scheme for solving systems with high-speed feedback

Design of effective numerical scheme for solving systems with high-speed feedback

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