Results 191 to 200 of about 35,727 (223)

An integro-partial differential equation for modeling biofluids flow in fractured biomaterials

Journal of Theoretical Biology, 2011
A novel mathematical model in the framework of a nonlinear integro-partial differential equation governing biofluids flow in fractured biomaterials is proposed, solved, verified, and evaluated. A semi-analytical solution is derived for the equation, verified by a mass-lumped Galerkin finite element method (FEM), and calibrated with two in vitro ...
exaly   +3 more sources

Monotone methods and attractivity results for Volterra integro-partial differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981
SynopsisA Volterra integro-partial differential equation of parabolic type, which describes the time evolution of a population in a bounded habitat, subject both to past history and space diffusion effects, is investigated; general homogeneous boundary conditions are admissible.
SCHIAFFINO A, TESEI, Alberto
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APPLICATION OF DIFFERENTIAL TRANSFORMS FOR SOLVING THE VOLTERRA INTEGRO-PARTIAL DIFFERENTIAL EQUATIONS

2010
In this paper, first the properties of one and two-dimensional differential transforms are presented.Next, by using the idea of differential transform, we will present a method to find an approximate solution fora Volterra integro-partial differential equations.
MOHSENI MOGHADAM, M., SAEEDI, H.
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Energy Inequalities for Integro-Partial Differential Equations with Riemann–Liouville Integrals

SIAM Journal on Mathematical Analysis, 1992
Integro-differential equations with Riemann-Liouville integrals are studied. These equations interpolate between the heat and the wave equation. The author derives energy inequalities. The proofs depend on Fourier analysis and probability methods.
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The nonlinear integro-partial differential equation describing the logistic growth of human population with migration

Applied Mathematics and Computation, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minoru Tabata, Nobuoki Eshima, Ichiro Takagi   +2 more
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A numerical scheme for solving a class of time fractional integro-partial differential equations with Caputo–Fabrizio derivative

Asian-European Journal of Mathematics, 2022
In this paper, we find the numerical solution of the time-fractional partial integro-differential equation with Caputo–Fabrizio fractional derivative. The problem is discretized by some finite difference schemes in the time direction, and then the Sinc collocation method is applied to the resulting problems in the spatial direction.
A. Mohammadpour, A. Babaei, S. Banihashemi   +2 more
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An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations

Numerical Methods for Partial Differential Equations, 2020
AbstractThe main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro‐partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used.
Afshin Babaei, Seddigheh Banihashemi, Carlo Cattani   +2 more
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Approximation Results for Volterra Integro-Partial Differential Equations

1980
A nonlinear parabolic Volterra integrodifferential equation with infinite delay, of relevance in population theory, is considered. Under a suitable spectral condition, approximation results are given for solutions near to equilibria in an appropriate function space.
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Initial boundary value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1994
The authors study the global existence of classical solutions of a certain problem which occurs in the theory of nonlinear vibrations of finite rods with nonlinear viscoelasticity. This phenomenon is described by an initial-boundary value problem (with the boundary conditions \(u(t,a) = 0\), \(u(t,b) = 0\), for all \(t)\) for the integro-partial ...
Cui, Shangbin, Qu, Changzheng
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Regularized asymptotic solutions of the initial problem for the system of integro-partial differential equations

Mathematical Notes, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bobodzhanov, A. A., Safonov, V. F.
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