Results 11 to 20 of about 240,138 (261)
Two approximation methods for fractional order Pseudo-Parabolic differential equations
Alexandria Engineering Journal, 2022 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
doaj +1 more source
Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition [PDF]
, 2018 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
core +4 more sources
Pseudo-differential Equations with Spherical Splines
, 2021 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
openaire +2 more sources
AIMS Mathematics, 2021 We discuss the concept of pseudo almost automorphic solution to fractional neutral differential equation with impulses using measure theory. Our principal results are obtained via semigroup theory and the fixed point theorem due to Krasnoselskii and ...
Velusamy Kavitha +2 more
doaj +1 more source
Electronic Research Archive, 2023 This paper considers blow-up and global existence for a semilinear space-time fractional pseudo-parabolic equation with nonlinear memory in a bounded domain.
Yaning Li , Yuting Yang
doaj +1 more source
A Radial Basis Function Finite Difference Scheme for the Benjamin–Ono Equation
Mathematics, 2020 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
doaj +1 more source
A new composition theorem for S^{p}-weighted pseudo almost periodic functions and applications to semilinear differential equations [PDF]
Opuscula Mathematica, 2011 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
doaj +1 more source
On local solvability of pseudo-differential equations [PDF]
Proceedings of the American Mathematical Society, 1974 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.
openaire +1 more source
Pseudo-differential Equations with Radial Basis Functions
, 2021 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
openaire +2 more sources
Syntheses of differential games and pseudo-Riccati equations
Abstract and Applied Analysis, 2002 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
doaj +1 more source