Results 161 to 170 of about 18,914 (194)

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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Numerical solution of multidimensional time-space fractional integro-partial differential equation of distributed order

2022
This article provides an effective computational algorithm based on Legendre wavelet (LW) and standard tau approach to approximate the solution of multi-dimensional distributed order time-space fractional weakly singular integro-partial differential equation (DOT-SFWSIPDE).
Yashveer Kumar, Somveer Singh, Reshma Singh, Vineet Singh   +3 more
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Hybrid Functions of Lagrange Polynomials and Block-Pulse Functions for Solving Integro-partial Differential Equations

Iranian Journal of Science and Technology, Transactions A: Science, 2018
We construct two-dimensional hybrid functions from Lagrange polynomials and block-pulse functions. Using special properties of the functions for evaluating integral and derivatives, we develop an efficient algorithm for solving two-dimensional integro-differential equations.
Nasibeh Mollahasani, Mahmoud Mohseni Moghadam, Gennady Chuev   +2 more
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Initial value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1999
Under certain regularity conditions on the coefficients, it is shown that the initial-value problem \[ \begin{cases} u_{tt}-au_{xxt}-p(u_x)_x-\int_0^t\lambda(t-s)q(u_x)_x ds=f(x,t),\\ \left.u\right|_{t=0}=\varphi(x),\;\left.u_t\right|_{t=0}=\psi(x),\end{cases} \] where \(x\in{\mathbb R}\) and \(t>0\), has a global classical solution. The proof is based
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B‐spline solution of fractional integro partial differential equation with a weakly singular kernel

Numerical Methods for Partial Differential Equations, 2017
The main objective of the paper is to find the approximate solution of fractional integro partial differential equation with a weakly singular kernel. Integro partial differential equation (IPDE) appears in the study of viscoelastic phenomena. Cubic B‐spline collocation method is employed for fractional IPDE.
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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.
Tabata, Minoru, Eshima, Nobuoki, Takagi, Ichiro   +2 more
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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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Integro-partial differential equation models for cell-cell adhesion and its application

2018
In both health and disease, cells interact with one another through cellular adhesions. Normal development, wound healing, and metastasis all depend on these interactions. These phenomena are commonly studied using continuum models (partial differential equations).
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