Numerical solutions of a hyperbolic differential-integral equation

Articulatory Synthesis: Numerical Solution of a Hyperbolic Differential Equation

The computation of acoltstic pressure fluctuations in a variable area tube is often done using the K elly-Lochbaum reflection model. The numerical scheme derived from this model can be put into the context of finite-difference approximations to a differential equation describing acoustic wave propagation (a hyperbolic differential equation). Quantitative criteria for goodness of finite-differen...

Numerical Solutions of a Class of Nonlinear Volterra Integral Equation

We consider numerical solutions of a class of nonlinear (nonstandard) Volterra integral equations. We first prove the existence and uniqueness of the solution of the Volterra integral equation in the context of the space of continuous funtions over a closed interval. We then use one point collocation methods and quadrature methods with a uniform mesh to construct solutions of the nonlinear VIE....

Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation

In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...

Exact and numerical solutions for nonlinear differential equation of Jeffrey-Hamel flow

A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation

In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and em...