Results 261 to 270 of about 9,068 (293)

Fractional exponential operators and nonlinear partial fractional differential equations in the Weyl fractional derivatives

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Ansari
exaly   +3 more sources

Precise solution of the system of nonlinear differential equations in partial derivatives of the theory of geoelectrochemical methods

Doklady Earth Sciences, 2015
O F Putikov
exaly   +2 more sources

Numerical solution of nonlinear partial differential equations with the Tau method

Journal of Computational and Applied Mathematics, 1985
The ability of a recent formulation of the Tau method of Ortiz and Samara to give approximate solutions of a high accuracy of linear partial differential equations with variable coefficients is used to produce numerical solutions of nonlinear partial ...
E L Ortiz
exaly   +2 more sources

Difference Schemes for the Nonlinear Equations in Partial Derivatives with Heredity

2019
We consider the initial-boundary value problem for nonlinear partial differential equations, the source of which are population models. Nonlinearity is contained both in the differential operator and in the inhomogeneity function. We construct a nonlinear implicit difference scheme, which requires the use of iterative solution methods on each time ...
T. V. Gorbova, Vladimir G. Pimenov, Svyatoslav I. Solodushkin   +2 more
openaire   +1 more source

Derivation of Nonlinear Partial Differential Equations Reducible to the Painleve Equations

Journal of the Physical Society of Japan, 1983
New nonlinear partial differential equations reducible to the Painleve equations are derived through special transformations constructed by similarity variables of well-known one-dimensional soliton equations. Also, it is discussed that there exist identity transformations, which transform an equation into the original one.
openaire   +1 more source

An application for nonlinear partial differential equations involving mixed partial derivatives by Laplace substitution method

AIP Conference Proceedings, 2014
In this article, we develop a method to obtain approximate solutions of nonlinear coupled partial differential equations involving mixed partial derivatives with the help of Laplace Substitution Method (LSM). The technique is based on the application of Laplace transform to nonlinear coupled partial differential equations. The nonlinear term can easily
S. S. Handibag, B. D. Karande
openaire   +1 more source

Variable Separation for (1 + 1)-Dimensional Nonlinear Evolution Equations with Mixed Partial Derivatives

Communications in Theoretical Physics, 2008
We present basic theory of variable separation for (1 + 1)-dimensional nonlinear evolution equations with mixed partial derivatives. As an application, we classify equations uxt = A(u, ux)uxxx + B{u, ux) that admits derivative-dependent functional separable solutions (DDFSSs) and illustrate how to construct those DDFSSs with some examples.
Wang Peng-Zhou, Zhang Shun-Li
openaire   +1 more source

The generalized bifurcation method for deriving exact solutions of nonlinear space-time fractional partial differential equations

Applied Mathematics and Computation, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Fourth‐order finite difference method for 2D parabolic partial differential equations with nonlinear first‐derivative terms

Numerical Methods for Partial Differential Equations, 1992
AbstractWe attempt to obtain a two‐level implicit finite difference scheme using nine spatial grid points of O(k2 + kh2 + h4) for solving the 2D nonlinear parabolic partial differential equation v1uxx + v2uyy = f(x, y, t, u, ux, uy, u1) where v1 and v2 are positive constants, with Dirichlet boundary conditions.
Jain, M. K., Jain, R. K., Mohanty, R. K.
openaire   +1 more source

Lie symmetry analysis of system of nonlinear fractional partial differential equations with Caputo fractional derivative

The European Physical Journal Plus, 2020
We derive the general prolongation formula for system of fractional partial differential equations (FPDEs) with Caputo derivative involving m dependent variables and n independent variables. A systematic computational method to derive Lie point symmetries of nonlinear FPDEs with Caputo derivative is given, and we illustrate its applicability through ...
openaire   +1 more source