Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods

DOI10.1016/0898-1221(94)00234-CzbMath0822.65075MaRDI QIDQ1346827

Nicola Bellomo, Luca Ridolfi

Publication date: 15 October 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

convergenceevolution equationssinc functionsnonlinear initial-boundary value problemscollocation-interpolation methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (21)

Sinc-Galerkin method for solving biharmonic problems ⋮ Generalized collocation method for two-dimensional reaction-diffusion problems with homogeneous Neumann boundary conditions ⋮ Sinc collocation-interpolation method for the simulation of nonlinear waves ⋮ Comparison of the solutions obtained by Adomian decomposition and wavelet-Galerkin methods of boundary-value problems ⋮ From population dynamics to modelling the competition between tumors and immune system ⋮ Identification of source terms in nonlinear convection diffusion phenomena by sinc collocation-interpolation methods ⋮ Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods ⋮ Eventual periodicity of the forced oscillations for a Korteweg-de Vries type equation on a bounded domain using a sinc collocation method ⋮ Solution of nonlinear evolution problems by parallelized collocation-interpolation methods ⋮ A system of ODEs for a perturbation of a minimal mass soliton ⋮ Sinc-Galerkin solution to the clamped plate eigenvalue problem ⋮ On the modelling of genetic mutations and immune system competition ⋮ Domain decomposition and discretization of continuous mathematical models ⋮ A hybrid numerical method for the KdV equation by finite difference and sinc collocation method ⋮ Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods ⋮ Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica. ⋮ Discretization of nonlinear models by sinc collocation-interpolation methods ⋮ Stability satisfied numerical approximates to the non-analytical solutions of the cubic Schrödinger equation ⋮ Nonlinear hydrodynamic models of traffic flow modelling and mathematical problems ⋮ Harmonic wavelets towards the solution of nonlinear PDE ⋮ Nonlinear consolidation models of clay with time dependent drainage properties

Cites Work

• Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito's type equations
• Modeling and solution of stochastic inverse problems in mathematical physics
• An inverse source-sink problem for the nonlinear heat equation
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• A high-order cnoidal wave theory
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• A NONLINEAR INVERSE PHASE TRANSITION PROBLEM FOR THE HEAT EQUATION
• The Korteweg–deVries Equation: A Survey of Results
• The reconstruction of band-limited signals from nonuniformly spaced samples
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