We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations [PDF]
We construct a finite element like scheme for fully nonlinear integro-partial differential equations arising in optimal control of jump-processes. Special cases of these equations include optimal portfolio and option pricing equations in finance. The schemes are monotone and robust.
Fabio Camilli, Espen R. Jakobsen
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Bounded and multiperiodic solutions of the system of partial integro-differential equations
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
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Integro-partial differential equations with singular terminal condition [PDF]
In this paper, we show that the minimal solution of a backward stochastic differential equation gives a probabilistic representation of the minimal viscosity solution of an integro-partial differential equation both with a singular terminal condition.
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A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations [PDF]
We formulate and prove a non-local "maximum principle for semi- continuous functions" in the setting of fully nonlinear and degenerate elliptic integro-partial dierential equations with integro operators of second order. Similar results have been used implicitly by several researchers to obtain com- parison/uniqueness results for integro-partial ...
Espen R. Jakobsen, Kenneth H. Karlsen
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Numerical solution of the two-dimensional Helmholtz equation with variable coefficients by the radial integration boundary integral and integro-differential equation methods [PDF]
This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2012 Taylor & Francis.This paper presents new formulations of the boundary–domain integral equation (BDIE) and the boundary–domain integro-
Al-Jawary, MA, Wrobel, LC
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On The Semi-Analytical Solution of Integro-Partial Differential Equations
Abstract The breakage and aggregation processes in batch systems had attained highly interest in applied mathematics and engineering fields. In this work, we developed analytical solutions of the particle breakage and aggregation using the population balance equation (PBE) in batch flow systems.
Abdelmalek Hasseine +3 more
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Inverse problem for quazilinear partial integro-differential equations of higher order
A method of studying an inverse problem for the some classes of quasilinear partial integro-differential equation of the higher order is proposed. A theorem on the existence and uniqueness of the solution of this problem is proved.
A. I. Seredkina, T. K. Yuldashev
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels. [PDF]
Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation category.
Sadri K +4 more
europepmc +5 more sources
Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]
This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L +7 more
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