Results 41 to 50 of about 104,210 (224)

Stability of the spline collocation method for second order Volterra integro‐differential equations

Mathematical Modelling and Analysis, 2004
Numerical stability of the spline collocation method for the 2nd order Volterra integro‐differential equation is investigated and connection between this theory and corresponding theory for the 1st order Volterra integro‐differential equation is ...
M. Tarang
doaj   +1 more source

Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients [PDF]

, 2012
This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below.
Škerget, L, Ravnik, J., AL-Jawary, M.A., Al-Jawary, MA, Wrobel, L.C., Wrobel, LC, Škerget, L., Ravnik, J   +7 more
core   +1 more source

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

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

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
doaj   +1 more source

A rigorous derivation of Smoluchowski's equation in the moderate limit [PDF]

, 2004
Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and shattering interactions. We give a microscopic model of the system from which we derive this equation rigorously.
Klingenberg, C., Oelschläger, K., Grosskinsky, Stefan   +2 more
core   +1 more source

A numerical technique based on operational matrices for solving nonlinear integro-differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2014
This paper presents a computational method for solving two types of integro-differential equations, system of nonlinear high order Volterra-Fredholm integro-differential equation(VFIDEs) and nonlinear fractional order integro-differential equations.
A. Golbabai
doaj   +1 more source

Variational Iteration Method for Solving Fractional Integro-Differential Equations with Conformable Differointegration

Axioms, 2022
Multidimensional integro-differential equations are obtained when the unknown function of several independent variable and/or its derivatives appear under an integral sign. When the differentiation or integration operators or both are of fractional order,
Mondher Damak, Zaid Amer Mohammed
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Computational DIQM Scheme for Solving Nonlinear Volterra Integro-Differential Equations [PDF]

The Egyptian International Journal of Engineering Sciences and Technology, 2020
The authors in this work develop the differential quadrature method (DQM) to solve the nonlinear Volterra integro-differential equation by introducing an integration matrix operator that is fully combined with the differentiation matrix in (DQM) method ...
Norhan Mohamed, sara abo hashem, Salwa Mohamed   +2 more
doaj   +1 more source

On $$L_p$$-solvability of stochastic integro-differential equations [PDF]

Stochastics and Partial Differential Equations: Analysis and Computations, 2020
AbstractA class of (possibly) degenerate stochastic integro-differential equations of parabolic type is considered, which includes the Zakai equation in nonlinear filtering for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces.
István Gyöngy, Sizhou Wu
openaire   +4 more sources

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
doaj   +1 more source