Numerical Solutions of Differential Equations Using Modified B-spline Differential Quadrature Method

DOI10.1007/978-81-322-2485-3_42zbMath1337.65090OpenAlexW2473079984MaRDI QIDQ2801939

Sumita Dahiya, Ramesh Chand Mittal

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_42

zbMATH Keywords

heat equationnumerical examplessemidiscretizationGauss elimination methodstrong stability preservingRunge-Kutta fourth-order methodmodified cubic B-spline quadrature methodwave equation cubic B-spline functions

Mathematics Subject Classification ID

Heat equation (35K05) Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D ⋮ A new efficient DQ algorithm for the solution of elliptic problems in higher dimensions ⋮ High order approximations using spline-based differential quadrature method: implementation to the multi-dimensional PDEs ⋮ On the numerical solution of high order multi-dimensional elliptic PDEs

Cites Work

• Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
• A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions
• Numerical solution of two-dimensional reaction-diffusion Brusselator system
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• A differential quadrature method for numerical solutions of Burgers'‐type equations
• A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
• Shock wave simulations using Sinc Differential Quadrature Method
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