An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point
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Publication:2006529
DOI10.1016/j.camwa.2015.09.010zbMath1443.65252OpenAlexW1777599526MaRDI QIDQ2006529
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.09.010
spectral element methodnonlinear diffusion equations\(p\)-Laplace equationmethod-of-linesanalytical Jacobian matrixcell motion and tumour angiogenesis models
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Quasilinear parabolic equations (35K59)
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Cites Work
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- A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements
- A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations
- Classification and stability of global inhomogeneous solutions of a macroscopic model of cell motion
- Spectral element solutions for the \(P_{N}\) neutron transport equations
- A nodal triangle-based spectral element method for the shallow water equations on the sphere
- A mixed-culture model of a probiotic biofilm control system
- A spectral element approximation to price European options with one asset and stochastic volatility
- A fully adaptive numerical approximation for a two-dimensional epidemic model with nonlinear cross-diffusion
- Model parameter uncertainties in a dual-species biofilm competition model affect ecological output parameters much stronger than morphological ones
- Dispersion analysis of spectral element methods for elastic wave propagation
- A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary
- A unified term for directed and undirected motility in collective cell invasion
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
- Solution of moving-boundary problems by the spectral element method
- ADER finite volume schemes for nonlinear reaction-diffusion equations
- A mixed finite element method for nonlinear diffusion equations
- Locally linearized fractional step methods for nonlinear parabolic problems
- A user's guide to PDE models for chemotaxis
- A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
- Partial differential equations and solitary waves theory
- The dual reciprocity boundary element formulation for nonlinear diffusion problems
- Spectral methods on triangles and other domains
- Investigation of a two-dimensional spectral element method for Helmholtz's equation
- De-aliasing on non-uniform grids: algorithms and applications.
- On the group classification of variable-coefficient nonlinear diffusion--convection equations
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- Marker method for the solution of nonlinear diffusion equations
- An explicit second order spectral element method for acoustic waves
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- An Algorithm for Computing Fekete Points in the Triangle
- Stabilization of the Spectral-Element Method in Turbulent Flow Simulations
- AN EXPLICIT SUBPARAMETRIC SPECTRAL ELEMENT METHOD OF LINES APPLIED TO A TUMOUR ANGIOGENESIS SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS
- The MATLAB ODE Suite
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- Spectral Methods for Time-Dependent Problems
- A Method for the Spatial Discretization of Parabolic Equations in One Space Variable
- Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation
- Adaptive finite element methodology for tumour angiogenesis modelling
- A Compendium of Partial Differential Equation Models
- A Legendre spectral element method for the Stefan problem
- Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
- Spectral element discretization of the Maxwell equations
- Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method
- From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
- Spectral Differencing with a Twist
- On direct, implicit reductions of a nonlinear diffusion equation with an arbitrary function - generalizations of Clarkson's and Kruskal's method
- High-Order Methods for Incompressible Fluid Flow
- Solving ODEs with MATLAB
- A spectral element method using the modal basis and its application in solving second‐order nonlinear partial differential equations
- Spectral Methods
- Algorithm 839
- Spectral Methods
- Finite Element Methods and Their Applications
- Spectral/hp Element Methods for Computational Fluid Dynamics
- Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation
- Semi-implicit finite volume scheme for solving nonlinear diffusion equations in image processing
- Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
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