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Application of modified Laplace decomposition method for solving boundary layer equation
- Source :
- Journal of King Saud University - Science. 23(1):115-119
- Publication Year :
- 2011
- Publisher :
- Elsevier BV, 2011.
-
Abstract
- In this paper, we apply the modified Laplace decomposition method (MLDM) to obtain series solutions of the boundary layer equation. The technique is based on the application of Laplace transform to boundary layers in fluid mechanics. The nonlinear terms can be easily handled by the use of Adomian polynomials. The obtained series solution is combined with the diagonal Pade approximants to handle the boundary condition at infinity. Comparison of the present solution is made with the existing solution and excellent agreement is noted.
- Subjects :
- Laplace's equation
Multidisciplinary
Boundary layer equation
Modified Laplace decomposition method
Mathematical analysis
Inverse Laplace transform
Series solutions
Mixed boundary condition
Adomian polynomials
Singular boundary method
Poincaré–Steklov operator
Padé approximants
Laplace transform applied to differential equations
General
Adomian decomposition method
GeneralLiterature_REFERENCE(e.g.,dictionaries,encyclopedias,glossaries)
Laplace formula
ComputingMilieux_MISCELLANEOUS
Mathematics
Subjects
Details
- ISSN :
- 10183647
- Volume :
- 23
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of King Saud University - Science
- Accession number :
- edsair.doi.dedup.....fbee5bff6abcf642bca59ad5423a9f5b
- Full Text :
- https://doi.org/10.1016/j.jksus.2010.06.018