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The LMAPS for solving fourth-order PDEs with polynomial basis functions
- Source :
- Mathematics and Computers in Simulation. 177:500-515
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
Abstract
- Due to certain difficulties in solving fourth-order partial differential equations (PDEs) using localized methods, the given differential equation is normally split into two decoupled second order PDEs. Such an approach is only feasible for Dirichlet and Laplace boundary conditions. In this paper the localized method of particular solutions is applied to fourth-order PDEs directly using polynomial basis functions. The effectiveness of the proposed algorithms is demonstrated by considering four numerical examples.
- Subjects :
- Numerical Analysis
Partial differential equation
General Computer Science
Laplace transform
Helmholtz equation
Differential equation
Applied Mathematics
010103 numerical & computational mathematics
02 engineering and technology
01 natural sciences
Dirichlet distribution
Theoretical Computer Science
Method of undetermined coefficients
symbols.namesake
Modeling and Simulation
0202 electrical engineering, electronic engineering, information engineering
symbols
Order (group theory)
Applied mathematics
020201 artificial intelligence & image processing
Boundary value problem
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 03784754
- Volume :
- 177
- Database :
- OpenAIRE
- Journal :
- Mathematics and Computers in Simulation
- Accession number :
- edsair.doi...........96e4aa588444107c0b97cb4188130f19