Results 11 to 20 of about 5,388,871 (377)
Solving one pseudo-Volterra integral equation
In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
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A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]
The integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
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Computation of semi-analytical solutions of fuzzy nonlinear integral equations
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah +3 more
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On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]
The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the
S.N. Askhabov
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General functional-integral Volterra equation
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
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Markovian integral equations [PDF]
We analyze multidimensional Markovian integral equations that are formulated with a time-inhomogeneous progressive Markov process that has Borel measurable transition probabilities. In the case of a path-dependent diffusion process, the solutions to these integral equations lead to the concept of mild solutions to semilinear parabolic path-dependent ...
openaire +5 more sources
An integral equation method for a boundary value problem arising in unsteady water wave problems [PDF]
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions.
Chamberlain, P. G +2 more
core +1 more source
Solving a nonhomogeneous integral equation with the variable lower limit
An nonhomogeneous integral equation with a singular kernel is considered. A feature of the equation under study is the incompressibility of the integral operator.
M.T. Kosmakova +3 more
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Application of DRBEM for 2D sine-Gordon equation
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
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