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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...
New approach to mixture of the Adomian decomposition and homotopy perturbation method for approximate and analytical solution of integral equations and fractional differential equations
Homotopy perturbation method Adomian Decomposition method
2010/9/17
Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining Analytic solution...
Exact solutions for systems of Volterra integral equations of the first kind by homotopy perturbation method
Systems of Volterra integral equations Homotopy perturbation method
2010/9/14
In this article, the homotopy perturbation method is proposed to solve systems of Volterra integral equations of the first kind. Theoretical proposes are presented briefly, so that this paper can be r...
Numerical solution of nonlinear Volterra-Hammerstein integral equations using the hybrid of block-pulse and rationalized Haar functions
Hybrid Rationalized Haar Block-pulse Volterra-Hammerstein
2010/9/14
A numerical method for finding the solution of nonlinear Volterra-Hammerstein integral equations is proposed. The properties of the hybrid functions which consists of block-pulse functions plus ration...
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...
Collocation and Fredholm Integral Equations of the First Kind
Collocation Fredholm integral equations weighted quadrature
2008/7/1
We consider the problem of numerical inversion of Fredholm integral equations of the first kind via piecewise interpolation. One of the most important aspects of this technique is the choice of grid a...
On the decomposition method for system of linear Fredholm integral equations of the second kind
Adomian decomposition method System of linear Freadholm integral equations
2010/9/10
In this paper, system of linear Freadholm integral equations of the second kind is handled by applying the decomposition method. For a system of linear equations we show that the Adomian decompositio...
Numerical solution of fuzzy integral equations
Fuzzy number Fuzzy linear system Fuzzy integral equations
2010/9/10
In this paper, a numerical procedure for solving fuzzy Fredholm integral equations of the second kind (FIEs) with arbitrary kernels have been investigated and residual minimization method is given and...
Bounds and comparisons for weighted renewal-type integral equations
Stochastic inequalities Weighted distributions
2010/9/15
In this note, inequalities and bounds for weighted renewal-type integral equations are presented. Some upper and lower bounds for the weighted renewal-type integral equations with monotone weight func...
Monte Carlo algorithms for solving Fredholm integral equations and Fredholm differential integral equations
Integral Equations Differential Integral Equations
2010/9/15
In this paper we establish a new algorithm for solving non linear differential integral equations based on Monte Carlo methods. For obtaining the corresponding results, we use the simulated branching ...
This paper deals with the existence,uniqueness,approximate solutions and errorsvaluation theorems concerning a class of nonlinear selfcontrolled systems with heredi-tary and polywave or polyvibrating ...
We consider solving integral equations of the second kind
defined on the half-line $[0,\infty)$ by the preconditioned
conjugate gradient method. Convergence is known to be
slow due to the non-compa...
The nonlinear singular perturbation problem is solved numerically on nonequidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral e...
The Kurzweil-Henstock integral formalism is applied to establish the existence of solutions to the linear integral equations of Volterra-type x(t)=~*∫_([a,t]) α(s)x(s)ds=f(t), t∈[a,b], where the funct...
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
2007/7/28
期刊信息
篇名
Extrapolation of Nystrom solution for two dimensional nonlinear Fredholm integral equations
语种
英文
撰写或编译
撰写
作者
Han Guoqiang,Wang Jiong
第一作者单位
华南理工大学
刊物名称
J. Comput. Appli. Math.
页面
2001，134，259...