Bernstein Polynomials Method For Solving Linear Volterra Integral Equation of The Second Kind [PDF]
In this paper, Bernstein polynomials method are used to find anapproximate solution for linear Volterra integral equation of the second kind.These polynomials are incredibly useful mathematical tools, because they aresimply defined.
Haleema S. Ali
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The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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Volterra’s integral equation of the second kind, with discontinuous kernel [PDF]
In this equation the function K(w, t ) is called the kerllel; the desired function is u(z) . VVhen the functions K(w, {) and +(.z) are continuous there is no diSculty in finding a continuous 6(z) that shall satisfy equation (1). This general case of the equation (1), under the conditions solelythat +(z) be continuouswhen a-z-b and that X(x, t:) be ...
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Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
T. K. Yuldashev
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Runge-Kutta theory for Volterra integral equations of the second kind [PDF]
The present paper develops the theory of general Runge-Kutta methods for Volterra integral equations of the second kind. The order conditions are derived by using the theory of P -series, which for our problem reduces to the theory of V -series.
Brunner, Hermann +2 more
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Solution of the boundary value problem of heat conduction in a cone [PDF]
In the paper we consider the boundary value problem of heat conduction in a non-cylindrical domain, which is an inverted cone, i.e. in the domain degenerating into a point at the initial moment of time.
Murat Ramazanov +2 more
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Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
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STATEMENT AND RESEARCH METHOD SOME BOUNDARY VALUE PROBLEMS FOR A CLASS OF FOURTH ORDER PARABOLIC-HYPERBOLIC TYPE [PDF]
This paper studies the methods of investigation of some boundary value problems for a class of parabolic-hyperbolic equations of the third order in the hexagonal concave areas that take advantage of the study of problems of mathematical physics in the ...
M. Mamajonov, S.M. Mamajonov
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FORMULATION AND METHOD OF SOLVING CERTAIN BOUNDARY VALUE PROBLEMS FOR A CLASS OF EQUATIONS THIRD ORDER PARABOLIC-HYPERBOLIC TYPE [PDF]
This paper studies the methods of investigation of some boundary value problems for a class of parabolic-hyperbolic equations of the third order in the hexagonal concave areas that take advantage of the study of problems of mathematical physics in the ...
M. Mamajonov +2 more
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Almost sure subexponential decay rates of scalar Ito-Volterra equations. [PDF]
The paper studies the subexponential convergence of solutions of scalar Itˆo-Volterra equations. First, we consider linear equations with an instantaneous multiplicative noise term with intensity .
Appleby John A. D. +2 more
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