Partial differential-difference equation

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Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution

Applied Mathematics and Computation, 2008
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Kapil K. Sharma, Paramjeet Singh
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A differential-difference technique for the hybrid computer solution of parabolic partial differential equations

Mathematics and Computers in Simulation, 1975
A differential-difference technique for the hybrid computer solution of parabolic partial differential equations with nonlinear terms is described. A theoretical analysis of the computational stability, convergence and accuracy of the technique is presented, showing that the method has certain important advantages over classical finite difference ...
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Results on Solutions for Several Systems of Partial Differential-Difference Equations with Two Complex Variables

2023
This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference equations (or systems) of the Fermat type with two complex variables are obtained.
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A note on the solutions of certain hyperbolic partial differential-differences equations

Journal of the Franklin Institute, 1968
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Three Semi-Implicit Compact Finite Difference Schemes for the Nonlinear Partial Integro-Differential Equation Arising From Viscoelasticity

International Journal of Modelling and Simulation, 2021
Hongbin Chen, Wenlin Qiu
exaly

INVESTIGATION OF THE STABILITY OF SOLUTIONS OF PARTIAL DIFFERENTIAL-DIFFERENCE EQUATIONS WITH LEADING TERM

Mathematics of the USSR-Sbornik, 1967
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Method of Separation of Variables and Exact Solution of Time Fractional Nonlinear Partial Differential and Differential-Difference Equations

Fractional Calculus and Applied Analysis, 2023
Ramajayam Sahadevan
exaly

Finite Difference Approximations for Two-Sided Space-Fractional Partial Differential Equations

Applied Numerical Mathematics, 2006
Mark M. Meerschaert, Charles Tadjeran
exaly

A Linearized Compact Difference Scheme for a Class of Nonlinear Delay Partial Differential Equations

Applied Mathematical Modelling, 2013
Zhi-Zhong Sun
exaly