Results 11 to 20 of about 35,727 (223)

Solvability of Some Types for Multi-fractional Integro-Partial Differential Equation

مجلة بغداد للعلوم, 2021
In this article, the solvability of some proposal types of the multi-fractional integro-partial differential system has been discussed in details by using the concept of abstract Cauchy problem and certain semigroup operators and some necessary and ...
Ali Kadhim Jabbar, Sameer Qasim Hasan
doaj   +3 more sources

Existence and uniqueness of a solution to a partial integro-differential equation by the method of lines [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2008
In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
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Phase-Lag Integro-Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy.
Sameeha Ali Raad
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A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar, A. Aasaraai, M. B. Mehrlatifan   +2 more
doaj   +1 more source

A Procedure for Factoring and Solving Nonlocal Boundary Value Problems for a Type of Linear Integro-Differential Equations

Algorithms, 2021
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas, Ioannis Nestorios Parasidis   +1 more
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Computational Wavelet Method for Multidimensional Integro-Partial Differential Equation of Distributed Order

CoRR, 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 Kumar Singh   +3 more
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Inverse problem for a Fredholm third order partial integro-differential equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
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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Cauchy Problems Associated with Certain Integro-Partial Differential Equations [PDF]

Journal of Integral Equations and Applications, 1994
Transmutations and quasi inner products are employed to developed solution representations for a class of initial value problems of the form \[ w_{tt} (x,y,t) = \{I_ x + P(D_ y)\} w(x,y,t), \quad w(x,y,0) = 0, \quad w_ t(x,y,0) = \varphi(x,y). \] Here \(t\) is the time variable and both \(x\) and \(y\) are space variables, \(I_ x\) is an integral ...
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Pell Collocation Method for Solving the Nonlinear Time–Fractional Partial Integro–Differential Equation with a Weakly Singular Kernel

Journal of Function Spaces, 2022
This article focuses on finding the numerical solution of the nonlinear time–fractional partial integro–differential equation. For this purpose, we use the operational matrices based on Pell polynomials to approximate fractional Caputo derivative ...
M. Taghipour, H. Aminikhah
doaj   +1 more source

A new perturbative technique for solving integro-partial differential equations [PDF]

Journal of Mathematical Physics, 1999
Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown distribution function.
openaire   +2 more sources