Space–time localized polynomial basis functions for solving parabolic and hyperbolic equations
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Publication:5097811
DOI10.1080/00207160.2021.2000968OpenAlexW3208519834WikidataQ115552372 ScholiaQ115552372MaRDI QIDQ5097811
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Publication date: 1 September 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2021.2000968
Heat equation (35K05) Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Uses Software
Cites Work
- Space-time discontinuous Galerkin finite element method for shallow water flows
- Localized method of approximate particular solutions with polynomial basis functions
- Space-time localized radial basis function collocation method for solving parabolic and hyperbolic equations
- Numerical solution to the deflection of thin plates using the two-dimensional Berger equation with a meshless method based on multiple-scale Pascal polynomials
- Fundamental kernel-based method for backward space-time fractional diffusion problem
- Polynomial particular solutions for solving elliptic partial differential equations
- Space-time least-squares finite elements for parabolic equations
- Two space-time methods for solving Burgers' equation
- An efficient meshfree method based on Pascal polynomials and multiple-scale approach for numerical solution of 2-D and 3-D second order elliptic interface problems
- A parallel space-time boundary element method for the heat equation
- A novel space-time generalized FDM for transient heat conduction problems
- Finite difference/finite element method for two-dimensional time-space fractional Bloch-Torrey equations with variable coefficients on irregular convex domains
- Space-time finite element techniques for computation of fluid-structure interactions
- Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
- Approximate Solutions in Linear, Coupled Thermoelasticity
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