Numerical solution of singularly perturbed two parameter problems using exponential splines

• Autorzy: Padmaja P. , Aparna P. , Gorla Rama Subba Reddy , Pothanna N.

Identyfikatory

DOI

10.2478/ijame-2021-0025

• Języki publikacji: EN

Abstrakty

EN

In this paper, we have studied a method based on exponential splines for numerical solution of singularly perturbed two parameter boundary value problems. The boundary value problem is solved on a Shishkin mesh by using exponential splines. Numerical results are tabulated for different values of the perturbation parameters. From the numerical results, it is found that the method approximates the exact solution very well.

Słowa kluczowe

EN

singular perturbation; convection-diffusion problems; exponential spline; numerical convergence

PL

przepływ ciepła; wartość graniczna; katalizator

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2021
• Tom: Vol. 26, no. 2
• Strony: 160--172
• Opis fizyczny: Bibliogr. 29 poz., tab., wykr.

Twórcy

autor

Padmaja P.

• Department of Mathematics, Prasad V Potluri Siddhartha Institute of Technology Vijayawada-520007, Andhra Pradesh, INDIA

autor

Aparna P.

• Department of Mathematics, Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNR VJIET) Bachupaly, Hyderabad-500090, INDIA

autor

Gorla Rama Subba Reddy

• Department of Aeronautics and Astronautics, Air Force Institute of Technology Wright Patterson Air Force Base Dayton, Ohio 45433, USA

autor

Pothanna N.

• Department of Mathematics, Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNR VJIET) Bachupaly, Hyderabad-500090, INDIA

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