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An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients JOURNAL ARTICLE published June 2005 in Applied Mathematics and Computation |
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients JOURNAL ARTICLE published March 2005 in Applied Mathematics and Computation |
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation JOURNAL ARTICLE published January 2004 in Applied Mathematics Letters |
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions JOURNAL ARTICLE published May 2004 in Applied Mathematics and Computation |
Unconditionally stable difference schemes for a one-space-dimensional linear hyperbolic equation JOURNAL ARTICLE published April 2007 in Applied Mathematics and Computation |
A fourth-order finite difference method based on spline in tension approximation for the solution of one-space dimensional second-order quasi-linear hyperbolic equations JOURNAL ARTICLE published December 2013 in Advances in Difference Equations |
An Unconditionally Stable Spline Difference Scheme for Solving the Second 2D Linear Hyperbolic Equation PROCEEDINGS ARTICLE published January 2010 in 2010 Second International Conference on Computer Modeling and Simulation |
A second-order difference scheme for two-dimensional two-sided space distributed-order fractional diffusion equations with variable coefficients JOURNAL ARTICLE published February 2024 in Journal of Applied Mathematics and Computing Research funded by National Natural Science Foundation of China (12101089) | Natural Science Foundation of Sichuan Province (2022NSFSC1844) |
An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation JOURNAL ARTICLE published November 2001 in Numerical Methods for Partial Differential Equations |
A STUDY ON UNCONDITIONALLY STABLE EXPLICIT DIFFERENCE SCHEMES FOR THE VARIABLE COEFFICIENTS PARABOLIC DIFFERENTIAL EQUATION JOURNAL ARTICLE published 4 October 2013 in International Journal of Pure and Apllied Mathematics |
On the use of high order difference methods for the system of one space second order nonlinear hyperbolic equations with variable coefficients JOURNAL ARTICLE published August 1996 in Journal of Computational and Applied Mathematics |
Finite difference methods for second order in space, first order in time hyperbolic systems and the linear shifted wave equation as a model problem in numerical relativity JOURNAL ARTICLE published April 2010 in Journal of Computational Physics |
Solutions of the generaln-th order variable coefficients linear difference equation JOURNAL ARTICLE published March 1994 in Applied Mathematics and Mechanics |
A new unconditionally stable compact difference scheme of O for the 1D linear hyperbolic equation JOURNAL ARTICLE published January 2009 in Applied Mathematics and Computation |
High order difference schemes for the system of two space second order nonlinear hyperbolic equations with variable coefficients JOURNAL ARTICLE published June 1996 in Journal of Computational and Applied Mathematics |
Mikusinski’s operators solution of three-order linear difference equation with variable coefficients JOURNAL ARTICLE published January 1994 in Applied Mathematics and Mechanics |
- Second-Order Hyperbolic Equations with One Space Variable BOOK CHAPTER published 23 December 2015 in Handbook of Linear Partial Differential Equations for Engineers and Scientists |
Unconditionally Stable and Second-Order Accurate Explicit Finite Difference Schemes Using Domain Transformation: Part I One-Factor Equity Problems JOURNAL ARTICLE published in SSRN Electronic Journal |
Solvability and solution character of a hyperbolic cotangent-type difference equation of second-order JOURNAL ARTICLE published 25 April 2024 in Journal of Applied Mathematics and Computing |
Difference Mean-Value Formula for a Two-Dimensional Linear Fourth Order Hyperbolic Equation JOURNAL ARTICLE published November 2016 in Journal of Mathematical Sciences |