A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh

DOI10.1016/j.amc.2015.03.057zbMath1410.65404OpenAlexW2089121935MaRDI QIDQ1643041

Ranjan Kumar Mohanty, Jyoti Talwar, Swarn Singh

Publication date: 18 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.03.057

zbMATH Keywords

stability analysisBurgers' equationvariable meshquasi-linear parabolic equationsspline in compressionnon polynomial spline

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)

Related Items (8)

The inverse solution of the coupled nonlinear reaction–diffusion equations by the Haar wavelets ⋮ A new variable mesh method based on non-polynomial spline in compression approximations for 1D quasilinear hyperbolic equations ⋮ A class of quasi-variable mesh methods based on off-step discretization for the numerical solution of fourth-order quasi-linear parabolic partial differential equations ⋮ Fourth-Order Numerical Scheme Based on Half-Step Non-Polynomial Spline Approximations for 1D Quasi-Linear Parabolic Equations ⋮ High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations ⋮ A new two-level implicit scheme for the system of 1D quasi-linear parabolic partial differential equations using spline in compression approximations ⋮ A new 2- level compact off-step implicit method in exponential form for the solution of fourth order nonlinear parabolic equations ⋮ A new two-level implicit scheme of order two in time and four in space based on half-step spline in compression approximations for unsteady 1D quasi-linear biharmonic equations

Cites Work

• Unnamed Item
• High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term
• Exponentially fitted spline in compression for the numerical solution of singular perturbation problems
• Numerical solution of stiff and convection-diffusion equations using adaptive spline function approximation
• Spline function approximation in discrete mechanics
• Spline function approximation for differential equations
• Cubic spline solution of two-point boundary value problems with significant first derivatives
• Difference schemes based on splines in compression for the solution of conservation laws
• Parametric cubic spline approach to the solution of a system of second-order boundary-value problems
• Parametric cubic spline solution of two point boundary value problems
• A spline method for second-order singularly perturbed boundary-value problems
• New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates
• A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems
• Parametric spline method for a class of singular two-point boundary value problems
• Spline methods for the solutions of hyperbolic equations
• Compact alternating group explicit method for the cubic spline solution of two point boundary value problems with significant nonlinear first derivative terms
• Non-polynomial cubic spline methods for the solution of parabolic equations
• Group explicit iterative methods for solving large linear systems
• A New Fourth Order Cubic Spline Method for Non-Linear Two-Point Boundary Value Problems
• A new spline method for singular two-point boundary value problems
• Numerical Solution of Singularly Perturbed Non-Linear Two Point Boundary Value Problems by Spline in Compression
• Iterative methods for solving non-linear two point boundary value problems
• The use of cubic splines in the numerical solution of a system of second-order boundary value problems
• On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations

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