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Numerical Algorithms, 2023
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Sandip Maji, Srinivasan Natesan
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Sandip Maji, Srinivasan Natesan
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Existence and asymptotic results for a system of integro-partial differential equations
Nonlinear Differential Equations and Applications NoDEA, 1996The paper is concerned with a non-Fourier phase field model of a solidification process expressed by an initial-boundary value problem for a system of integro-partial differential equations with delay. The authors prove the global existence and uniqueness of the solution and investigate the regularity and the asymptotic behavior of the solution as \(t ...
Aizicovici, Sergiu, Barbu, Viorel
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Double Fuzzy Sumudu Transform to Solve Partial Volterra Fuzzy Integro-Differential Equations
In this paper, the double fuzzy Sumudu transform (DFST) method was used to find the solution to partial Volterra fuzzy integro-differential equations (PVFIDE) with convolution kernel under Hukuhara differentiability.
Atanaska Georgieva
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Numerical integration of a nonlinear, singular integro-partial differential equation
Journal of Computational Physics, 1970Abstract A method for numerical integration of a nonlinear, singular integro-partial differential equation is presented. The method consists in evaluating the singular integral by a least-squares approximation technique. A predictor-corrector formula is employed to integrat- the ordinary differential equations obtained after the spatial ...
Prasad, K. Krishna, Hering, R. G.
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Domain decomposition methods for a class of integro-partial differential equations
AIP Conference Proceedings, 2016This paper deals with the construction of Schwarz Waveform Relaxation (SWR) methods for fractional diffusion-wave equations. SWR methods are a class of domain decomposition algorithms to solve evolution problems in parallel and have been mainly developed and analysed for several kinds of PDEs. We first analyse the convergence behaviour of the classical
CONTE, Dajana, CALIFANO, GIOVANNA
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Mathematics and Computers in Simulation, 2023
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Sandip Maji, Srinivasan Natesan
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Sandip Maji, Srinivasan Natesan
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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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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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Monotone methods and attractivity results for Volterra integro-partial differential equations
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981Synopsis A 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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Approximation Results for Volterra Integro-Partial Differential Equations
1980A 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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Energy Inequalities for Integro-Partial Differential Equations with Riemann–Liouville Integrals
SIAM Journal on Mathematical Analysis, 1992This paper presents energy inequalities for the integro-partial differential equations with the Riemann–Liouville integrals. These equations interpolate between the heat equation and the wave equation. This fact is reflected in the energy inequalities so that they correspond to the energy equality for the wave equation. The proofs depend on the Fourier
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