The Volterra integral equations of the second kind with weakly singular kernels
Numerical Solution of Volterra Integral Equations of Second Kind
... numerically Volterra integral equations of second kind with regular and singular kernels by given a numerical algorithm to solve the ...
6
A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels
... differential equations (FRDEs). FRDEs are equivalent to nonlinear Volterra integral equations of the second ...nonlinear Volterra integral equations of the ...
19
The Optimal Homotopy Asymptotic Method with Application to Second Kind of Nonlinear Volterra Integral Equations
... method, etc which can be used to obtain an approximate solutions of the nonlinear problems. However, there are several complications such as in grid modification, selection of stability conditions and selection of small ...
14
Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method
... The integral equations arise in many industrial fields, such as: electromagnetic fields and thermal ...a Volterra integral equation of second ...linear Volterra integral ...
15
Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind
... The Volterra integral equations arise in many scientific and engineering fields such as the population dynamics, spread of epidemics, semi-conductor devices, vehicular traffic, the theory of optimal ...
11
Comparing chebyshev polynomials and adomian decomposition method in solving nonlinear volterra integral equations of second kind
... the integral equation can be classified into two classes, which are Volterra integral equations and Fredholm integral ...The Volterra integral equations are special ...
19
A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
... solving second kind linear Volterra integral ...the integral equation reduces to solve a recurrence ...of integral equation is iteratively produced via the recurrence ...
9
A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... In this paper, non-polynomial spline function method for solving Volterra integral equations of the second kind is presented successfully. This idea based on the use of the VIE's and ...
6
Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... include second kind with regular kernels and weakly singular kernels, available in the existing literature [1- ...linear Volterra integral equations is ...
10
A New Technique for Approximate Solutions of the Nonlinear Volterra Integral Equations of the Second Kind
... In this paper, a dierent approach for nding an approximate solution of the Nonlinear Volterra Integral Equations (NVIE) of the Second Kind is presented. In this approach, the ...
7
Singularly perturbed Volterra integral equations with weakly singular kernels
... We consider finding asymptotic solutions of the singularly perturbed linear Volterra in- tegral equations with weakly singular kernels. An interesting aspect of these problems is that ...
15
Numerical method for non-linear fuzzy Volterra integral equations of the second kind
... Keywords : Fuzzy number; F uzzy integral equation; Quadrature rules; numerial method.. ||||||||||||||||||||||||||||||||{.[r] ...
11
Numerical Solution of Nonlinear Fredholm Volterra Integtral Equations via Piecewise Constant Function by Collocation Method
... Fredholm-Volterra integral equations of the second kind which is based on replacement of the unknown function by truncated series of well known Block-Pulse functions (BPfs) ...
5
On Volterra type integral equations in noncompact metric space
... nonlinear Volterra integral equations of the second kind in the case when the independent variable belongs to an arbitrary noncompact metric ...of Volterra-type integral ...
17
The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... the Volterra integral equations and their solution ...this integral equation is the unknown function u(x) which satisfies that equation, but there is the problem that the upper limit of the ...
7
Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations
... nonlinear Volterra integral equation of second kind with unknown function u x and F u is a non-linear function of u x , and we assumed that, the kernel k x t , and the function ...
6
Fast multipole method for singular integral equations of second kind
... first integral in () is defined in the sense of Cauchy principal value, and λ is not an ...for Volterra integral equations with highly oscillatory Bessel kernels, and they concluded that ...
11
Newton-Product Integration for a Stefan Problem with Kinetics
... Stefan problem with kinetics is reduced to a system of nonlinear Volterra integral equations of second kind and Newton's method is applied to linearize it. Product integration solution ...
11
Vol 6, No 11 (2015)
... linear Volterra-Fredholm integral ...Fredholm-Volterra integral equation in two dimensional ...Fredholm- Volterra integral equation, Omran ...Fredholm–Volterra ...
9
New approach for solution of Volterra integral equations using spline quasi-interpolant
... integro-differential equations are mathematical tools in many branches of science and ...linear integral equations of the second kind studied in Delves ...these equations, ...
16