Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems [PDF]
We obtain an approximation of the solution of the nonlinear Volterra integral equation of the second kind, by means of a new method for its numerical resolution.
M. I. Berenguer +3 more
doaj +4 more sources
Solution of a two-dimensional parabolic model problem in a degenerate angular domain [PDF]
In this paper, the boundary value problem of heat conduction in a domain was considered, boundary of which changes with time, as well as there is no the problem solution domain at the initial time, that is, it degenerates into a point.
M.I. Ramazanov +2 more
doaj +2 more sources
In this study, we consider solving the second kind Volterra fuzzy integral equations system in two cases linear and nonlinear by using a semi-analytic method, called Differential Transform Method (DTM).
Mahmoud Paripour, Mandana Takrimi
doaj +1 more source
Boundary value problems with displacement for one mixed hyperbolic equation of the second order
The paper studies two nonlocal problems with a displacement for the conjugation of two equations of second-order hyperbolic type, with a wave equation in one part of the domain and a degenerate hyperbolic equation of the first kind in the other part. As
Zh.A. Balkizov
doaj +1 more source
The Analytical Methods Of Volterra Integral Equations Of The Second Kind
This paper discussed the analytic methods to solve Second order Volterra integral equations form using different methods. The domain decomposition method is the first technique. Depending on the hypothesis, the solution is by sequence. The second method is the successive approximation technique, which is used Picard iteration method.
Issa H. Al-Aidi, Ahmed Sh. Al-Atabi
openaire +2 more sources
MODIFIED QUASI SIMPS0N 'S 3/8 RULE FOR SOLVING SYSTEM OF INTEGRAL EQUATION OF THE SECOND KIND LINEAR [PDF]
Actually, it is possible to solve systems of integral equation by using many approaches. However, in this study, the modified quasi Simpson's 3/8 rule used to find the numerical solution of a system of linear Volterra integral equations of the second ...
Mohammed Yosuf Turki
doaj +1 more source
Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
doaj +1 more source
Fractional differential equations and Volterra–Stieltjes integral equations of the second kind [PDF]
AbstractIn this paper, we construct a method to find approximate solutions to fractional differential equations involving fractional derivatives with respect to another function. The method is based on an equivalence relation between the fractional differential equation and the Volterra–Stieltjes integral equation of the second kind.
Asanov, Avyt +2 more
openaire +3 more sources
Fredholm and Volterra Integral Equations of the Second Kind [PDF]
Integral equations are often the best way to formulate physics problems. However, the typical physics student gets almost no training in integral equations, in contrast to differential equations, for example. Many physicists thus believe that numerical solution of integral equations must be an extremely arcane topic, since it is almost never dealt with
Press, William H., Teukolsky, Saul A.
openaire +2 more sources
SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov +1 more
doaj +1 more source

