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Convergence of numerical solutions to stochastic age-dependent population equations driven by non-Gaussian noise
stochastic age-dependent population equations compensated Poisson random measure
2010/9/25
It presents and analyzes the Euler methods for stochastic age-dependent population equations driven by Poisson random jump measure; Under the Local Lipschitz condition, we prove that the Euler approxi...
New stable numerical solutions of singular integral equations of Abel type by using normalized Bernstein polynomials
Orthonormal Bernstein polynomials Abel’s integral equations
2010/9/10
A new numerical method, based on the normalized Bernstein polynomials for solving singular integral equations of Abel type is presented here in this paper. We construct an othonormal family { }n i n i...
Use of Bernstein polynomials in numerical solutions of Volterra integral equations
Volterra integral equation Abel’s integral equation
2010/9/13
In this paper the Bernstein polynomials are used to approximate the solutions of linear Volterra integral equations. Both second and first kind integral equations, with regular, as well as weakly sing...
On the Analytical and Numerical Solutions of the One-Dimensional Nonlinear Burgers’Equation
Adomian decomposition Method；tanh -function Method；nonlinear Burgers' equation；analytical solution；accuracy
2008/11/10
In this paper, we present two methods for finding solutions to the one-dimensional nonlinear Burgers' equation. The first method is an analytical one, which is based on the tanh - function method. The...