Numerical solutions of boundary value problems of non-linear differential equations

Sujaul Chowdhury

ISBN 10: 1032069953 ISBN 13: 9781032069951

Editorial: Taylor & Francis Ltd, 2021

Idioma: Ingl�s

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Detalles bibliogr�ficos

T�tulo

Numerical solutions of boundary value problems of non-linear differential equations

Editor

Taylor & Francis Ltd

Fecha de publicaci�n

2021

Idioma

Ingl�s

ISBN 10

1032069953

ISBN 13

9781032069951

Encuadernaci�n

Hardback

Estado

New

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Sinopsis

The book presents in comprehensive detail numerical solutions to boundary value problems of a number of non-linear differential equations. Replacing derivatives by finite difference approximations in these differential equations leads to a system of non-linear algebraic equations which we have solved using Newton's iterative method. In each case, we have also obtained Euler solutions and ascertained that the iterations converge to Euler solutions. We find that, except for the boundary values, initial values of the 1st iteration need not be anything close to the final convergent values of the numerical solution. Programs in Mathematica 6.0 were written to obtain the numerical solutions.

Acerca del autor

Sujaul Chowdhury is a Professor in Department of Physics, Shahjalal University of Science and Technology (SUST), Bangladesh. He obtained a B.Sc. (Honours) in Physics in 1994 and M.Sc. in Physics in 1996 from SUST. He obtained a Ph.D. in Physics from The University of Glasgow, UK in 2001. He was a Humboldt Research Fellow for one year at The Max Planck Institute, Stuttgart, Germany.

Syed Badiuzzaman Faruque is a Professor in Department of Physics, SUST. He has a research interest in Quantum Theory, Gravitational Physics, Material Science etc. He has been teaching Physics at university level for about 27 years. He studied Physics in The University of Dhaka, Bangladesh and in The University of Massachusetts Dartmouth, U.S.A. and did PhD in SUST.

Ponkog Kumar Das is an Assistant Professor in Department of Physics, SUST. He obtained a B.Sc. (Honours) and M.Sc. in Physics from SUST. He is a promising future intellectual.

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