Restrictive Padé Approximation for the Solution of the SchröDinger Equation

DOI10.1080/00207160210951zbMath0999.65087OpenAlexW2009800641MaRDI QIDQ4543522

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Publication date: 5 December 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160210951

zbMATH Keywords

stabilitynumerical examplesSchrödinger equationfinite differenceCrank-Nicolson methodrestrictive Padé approximationcomplex tridiagonal systems

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

Unique solvability of restrictive Padé and restrictive Taylor's approximations ⋮ A model for a finite memory transport in the Fisher equation ⋮ On the convergence of the restrictive Padé approximation to the exact solutions of IBVP of parabolic and hyperbolic types ⋮ Unnamed Item ⋮ A restrictive Padé approximation for the solution of the generalized Fisher and Burger-Fisher equations ⋮ Comparison study between restrictive Taylor, restrictive Padé approximations and Adomian decomposition method for the solitary wave solution of the general KdV equation

Cites Work

• Unnamed Item
• Accelerating technique for implicit finite difference schemes for two dimensional parabolic partial differential equations
• Highly accurate method for solving initial boundary value problem for first order hyperbolic differential equations
• A note on the numerical solution of the schrödinger equation
• Restrictive padé approximation and parabolic partial differential equations
• Highly accurate method for the convection-diffusion equation

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