Two approximation methods for fractional order Pseudo-Parabolic differential equations
In this study, fractional order pseudo-parabolic partial differential equation defined by Caputo derivative is investigated with initial-boundary conditions. Modified double Laplace decomposition method is used to find the exact solution of this equation.
Mahmut. Modanli +4 more
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Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition [PDF]
Pseudo-parabolic equations have been used to model unsaturated fluid flow in porous media. In this paper it is shown how a pseudo-parabolic equation can be upscaled when using a spatio-temporal decomposition employed in the Peszyn'ska-Showalter-Yi paper [
AJ Vromans +6 more
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Pseudo-differential Equations with Spherical Splines
The aim of this chapter is to report on the design of additive Schwarz methods when spherical splines are used to solve the hypersingular integral equation on the sphere. On this geometry, this equation belongs to a wider class of the so-called pseudo-differential equations on the sphere.
Stephan, EP, Tran, T
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A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation
A radial basis function-finite differencing (RBF-FD) scheme was applied to the initial value problem of the Benjamin–Ono equation. The Benjamin–Ono equation has traveling wave solutions with algebraic decay and a nonlocal pseudo-differential operator ...
Benjamin Akers, Tony Liu, Jonah Reeger
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A new composition theorem for S^{p}-weighted pseudo almost periodic functions and applications to semilinear differential equations [PDF]
In this paper, we establish a new composition theorem for \(S^p\)-weighted pseudo almost periodic functions under weaker conditions than the Lipschitz ones currently encountered in the literatures.
Zhi-Han Zhao +2 more
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On local solvability of pseudo-differential equations [PDF]
A sufficient condition for the local solvability of the equation u,-A(x, t, D,)u=f(x, t) is proved, where A is a first order pseudo-differential operator with real symbol. This is a special case of the local solvability conjecture of Nirenberg and Treves. Introduction.
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Pseudo-differential Equations with Radial Basis Functions
In this chapter we consider again pseudo-differential equations on the sphere. However, the chapter is diverted from the main theme of other chapters in that boundary elements are not the tool used to solve the equations. Instead, we use radial basis functions (RBFs) which results in a meshless method.
Stephan, EP, Tran, T
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Syntheses of differential games and pseudo-Riccati equations
For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution
Yuncheng You
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On a pseudo-Volterra nonhomogeneous integral equation
In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova +3 more
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A nonlinear Bismut-Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces [PDF]
We consider a Backward Stochastic Differential Equation (BSDE for short) in a Markovian framework for the pair of processes $(Y,Z)$, with generator with quadratic growth with respect to $Z$.
Addona, Davide +2 more
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