Inverse problem for a Fredholm third order partial integro-differential equation
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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On the Relation of Delay Equations to First-Order Hyperbolic Partial Differential Equations [PDF]
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations.
Karafyllis, Iasson, Krstic, Miroslav
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
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Front motion for phase transitions in systems with memory
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici +17 more
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On a complex differential Riccati equation [PDF]
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g.,
Bernstein S +28 more
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Numerical study of fractional model of multi-dimensional dispersive partial differential equation
This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multi-dimensional space.
Vijay Verma +3 more
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Penalization method for a nonlinear Neumann PDE via weak solutions of reflected SDEs
In this paper we prove an approximation result for the viscosity solution of a system of semi-linear partial differential equations with continuous coefficients and nonlinear Neumann boundary condition. The approximation we use is based on a penalization
Bahlali, Khaled +2 more
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The exact solutions to the generalized (2+1)-dimensional nonlinear wave equation
Due to the importance of the nonlinear partial differential equations in applied physics and engineering, many mathematicians and physicists are interesting to the nonlinear partial differential equations.
Jianping Li, Can Xu, Junliang Lu
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Gravitating fluids with Lie symmetries
We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi +9 more
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Stochastic partial differential equation based modelling of large space–time data sets [PDF]
Increasingly larger data sets of processes in space and time ask for statistical models and methods that can cope with such data. We show that the solution of a stochastic advection–diffusion partial differential equation provides a flexible model class ...
Fabio Sigrist, H. Künsch, W. Stahel
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