The objective of this work is to use Optimal Homotopy Asymptotic
Method (OHAM), a new semi-analytic approximating technique, for
solving linear and nonlinear initial and boundary value problems.
The semi analytic solutions of nonlinear fourth order, eighth
order, special fourth order and special sixth order boundary-value
problems are computed using OHAM. Successful application of OHAM
for squeezing flow is a major task in this study. This work also
investigates the effectiveness of OHAM formulation for Partial
Differential Equations (Wave Equation and Korteweg de Vries). OHAM
is independent of the free parameter and there is no need of the
initial guess as there is in Homotopy Perturbation Method (HPM),
Variational Iteration Method (VIM) and Homotopy Analysis Method
(HAM). OHAM works very well with large domains and provides better
accuracy at lower-order of approximations. Moreover, the
convergence domain can be easily adjusted. The results are compared
with other methods like HPM, VIM and HAM, which reveal that OHAM is
effective, simpler, easier and explicit.
General
Imprint: |
Lap Lambert Academic Publishing
|
Country of origin: |
Germany |
Release date: |
June 2012 |
First published: |
June 2012 |
Authors: |
Muhammad Idrees
• Sirajul Haq
|
Dimensions: |
229 x 152 x 7mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
108 |
ISBN-13: |
978-3-8484-9660-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-8484-9660-7 |
Barcode: |
9783848496600 |
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