Numerical Methods in Variational Problems with Moving Boundaries: Applicable for Economics and Engineering Problems - Softcover

Ghaderi, Sara

 
9783659307690: Numerical Methods in Variational Problems with Moving Boundaries: Applicable for Economics and Engineering Problems
Softcover
ISBN 10: 3659307696 ISBN 13: 9783659307690
Publisher: LAP LAMBERT Academic Publishing, 2012

Synopsis

Numerical methods including homotopy perturbation method and homotopy variational method are applied to solve moving boundary and isoperimetric problems. homotopy perturbation method does not depend upon a small parameter in the equation, homotopy is constructed with an imbedding parameter p, which is considered as a “small parameter”. Finally, we use combined homotopy perturbation method and Green’s function method for solving second order problems. In variational method, general Lagrange multiplier is introduced to construct correction functional for the variational problems. Some examples are given to illustrate the effectiveness of methods. The results show that these methods provides a powerful mathematical tools for solving problems.

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About the Author

Sara Ghaderi has M.Sc. in applied mathematics from University of Semnan, Iran and B.Sc. from Ferdowsi University of Mashhad. With several published papers in numerical analysis category in accredited journals,she is currently teaching at several universities of Mashhad.

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Publisher
LAP LAMBERT Academic Publishing
Publication date
2012
Language
English
ISBN 10 
3659307696
ISBN 13 
9783659307690
Binding
Paperback
Number of pages
76