Results 91 to 100 of about 2,297,756 (205)

Volterra type integral equation method for the radial Schrödinger equation: Single channel case [PDF]

, 2004
A new Volterra type integral equation method for the numerical solution of the single channel radial Schrödinger equation is investigated. The method, carried out in configuration space, is based on the conversion of differential equations into a system ...
Kang, Sheon-Young
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A Product Integral Solution of a Stieltjes-Volterra Integral Equation [PDF]

Proceedings of the American Mathematical Society, 1970
This paper demonstrates that the theory of Stieltjes-Volterra integral equations may be subsumed in Mac Nerney’s general integral equation theory by making suitable choices of linear spaces and sets of operators.
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A Singular Nonlinear Volterra Integral Equation

Journal of Integral Equations and Applications, 1993
Many problems in Applied Mathematics lead to the study of the nonlinear partial differential equation \(u_ t = (a(u))_{xx} + (b(u))_ x + c(u)\). The interest in the existence of travelling-wave solutions of the form \(U(x,t) = U(\psi)\), \(\psi = x - \lambda t\), originates an ordinary differential equation from which arise integral equations of the ...
openaire   +4 more sources

Numerical algorithms to solve one inverse problem for Navier–Stokes equations

Nonlinear Analysis
This model describes the Poiseuille type solution in the nonstationary case of the Navier–Stokes problem. An equivalent form of PDE problem is defined as the first-kind Volterra integral equation.
Raimondas Čiegis
doaj   +1 more source

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

International Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
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Regularity of backward stochastic volterra integral equations in Hilbert spaces

, 2010
This article investigates backward stochastic Volterra integral equations in Hilbert spaces. The existence and uniqueness of their adapted solutions is reviewed. We establish the regularity of the adapted solutions to such equations by means of Malliavin
Anh, Vo, Wilfried Grecksch, Yong, Jiongmin, Anh, Vo V., Vo V. Anh, Grecksch, Wilfried, Jiongmin Yong   +6 more
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Approximate Solution of Intuitionistic Fuzzy Volterra Integral Equation of Separable-Type Kernel Using Elzaki Adomian Decomposition Method

International Journal of Mathematics and Mathematical Sciences
An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty.
Zain Khan, Saleem Abdullah, Samuel Okyere   +2 more
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Volterra integral and differential equations /

, 2005
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork ...
Burton, T. A.(Theodore Allen),
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The Control Problem for a Heat Conduction Equation with Neumann Boundary Condition

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Previously, boundary control problems for a heat conduction equation with Dirichlet boundary condition were studied in a bounded domain. In this paper, we consider the boundary control problem for the heat conduction equation with Neumann boundary ...
Dekhkonov, F.N.
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Capacitary measures for completely monotone kernels via singular control [PDF]

We give a singular control approach to the problem of minimizing an energy functional for measures with given total mass on a compact real interval, when energy is defined in terms of a completely monotone kernel.
Alexander Schied, Aurélien Alfonsi
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