partial-differential equation solutions
A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations
... fractional partial differential equation (FPDE) is a partial differential equation which involves frac- tional calculus ...numerical solutions of Initial - Boundary value ...
13
Classification of All Single Traveling Wave Solutions to (3 + 1) Dimensional Breaking Soliton Equation
... wave solutions to nonlinear partial differential equation, the complete discrimination system for polynomial and direct integral method are applied to the con- sidered ...wave solutions ...
5
Exact and approximate solutions of fractional partial differential equations for water movement in soils
... In this paper the water movement in soils of finite depths is investigated by presenting analytical solutions of the fractional partial differential equation (fPDE) of water movement. The fPDE ...
13
Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro Differential Equation
... To the best of our knowledge, the study of the existence of asymptotically almost periodic solutions of neutral integro-differential equations with unbounded delay described in the abstract form 1.1 is an untreated ...
26
Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions
... series solutions for some partial differential equa- tions associated with the second order differential equation, and study nec- essary and sufficient conditions for the negative and ...
10
ITERATIVE METHOD FOR CONSTRUCTING ANALYTICAL SOLUTIONS TO THE HARRY-DYM INITIAL VALUE PROBLEM
... This equation is a nonlinear partial differential equation which is of great importance in terms of applications; for example, in the analysis of the Saffman-Taylor problem with surface ...
14
Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation
... Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation V.. Kavitha* Post Graduate and Research Department of Mathematics, Thiruvalluvar Governme[r] ...
16
Painlev´e Analysis, Lax Pairs and New Analytic Solutions for a High-order Boussinesq-Burgers Equation
... exact solutions for a given partial differential equation in the nonlinear science, such as the symmetry reduction, Homogeneous balance method [1], Hirota’s bilinear method [2,3], B¨acklund ...
5
Simulation of Transverse Standing Waves
... Solutions of a hyperbolic partial differential equation in one dimension with appropriate initial and boundary conditions are conducive to standing waves. We consider practical initial ...
10
Study on Nonlinear Partial Differential Equation by Implementing MSE Method
... wave solutions of the nonlinear partial Klein-Gordon differential equation by using modified simple equation ...mentioned equation in previous ...
15
Chebyshev spectral method for singular moving boundary problems with application to finance
... as solutions of differential equations satisfying a set of boundary ...a partial differential equation valid away from the interface plus boundary conditions on ...
126
On existence of solutions of a impulsive stochastic partial functional integro differential equation with the measure of noncompactness
... stochastic partial differential and integro-differential equations one considers basically problems for which the impulses are abrupt and in- ...as partial differential equations and integro-differential with ...
27
Integral equation techniques in groundwater flow
... Solutions to transient flow problems may be calculated by using Laplace transforms to remove the time dependence from the governing partial differential equation and then using integral [r] ...
198
The Basic (G'/G) Expansion Method for the Fourth Order Boussinesq Equation
... wave solutions of nonlinear evolution equations which arise in engineering sciences, mathematical physics and real time application ...wave solutions of the nonlinear partial differential ...
9
Soliton solutions,Kink and antikink of the Gerdjikov-Ivanov equation
... nonlinear partial differential equation (PDEs) are widely used to investigate exact solutions and soliton solutions in various sci- entific and engineering fields, such as metamaterials ...
9
Exact solutions of a linear fractional partial differential equation via characteristics method
... The present paper is organized as follows: in section 2, a summary of difinitions and properties of fractional calculus are expressed, and the characteristics method for linear FDEs is explained too. In section 3, in ...
7
Tan-Cot Function Method to Solve New Coupled ZK and mKdV Systems
... wave solutions by using the Tan-Cot function algorithm were established for solving nonlinear partial differential ...wave solutions for two systems of various types of nonlinear ...
5
An Introduction to Numerical Methods for the Solutions of Partial Differential Equations
... evaluating partial differential equations in the form of algebraic ...a partial differential equation that contain a divergence term are converted to surface integrals, us- ing the ...
12
Vol 3, No 12 (2012)
... the solutions of the partial differential equation at time t 1 and use these solutions as initial values for the next level u ( x , 0 ) = u ( x , t 1 ) , and for the other, we obtain ...
8
New Exact Travelling Differential Equations by Using Tanh Method
... partial differential equation is current research in Applied ...exact solutions for some nonlinear partial differential equations which obtained by using tanh (or tangent ...
5