Results 211 to 220 of about 485,712 (256)
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International journal of numerical modelling, 2019
In this paper, an efficient matrix method based on 2D orthonormal Bernoulli polynomials are developed to obtain numerical solution of weakly singular fractional partial integro‐differential equations (FPIDEs).
Nasrin Samadyar, Farshid Mirzaee
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In this paper, an efficient matrix method based on 2D orthonormal Bernoulli polynomials are developed to obtain numerical solution of weakly singular fractional partial integro‐differential equations (FPIDEs).
Nasrin Samadyar, Farshid Mirzaee
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Integro-Differential Equations
1992The aim of this chapter is to extend some results of Chapters 1 – 7 concerning boundedness, convergence and quasiconvergence to a class of integro-differential equations with retarded argument which arises from phase synchronization problems. Our aim is to apply ordinary differential equation methods such as the Bakaev-Guzh technique and non-local ...
Gennadij A. Leonov +2 more
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Improvement by projection for integro‐differential equations
Mathematical Methods in the Applied Sciences, 2020The aim of this work is to establish an improved convergence analysis via Kulkarni method to approximate the solution of an integro‐differential equation in . We prove the following convergence orders: Kulkarni order is , and Kulkarni iterated order is . The present study extends and improves earlier results in the literature.
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International Journal of Computational Mathematics, 2019
In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation.
Ömer Yapman, G. M. Amiraliyev
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In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation.
Ömer Yapman, G. M. Amiraliyev
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Integro-Differential Equations of Fractional Order
Differential Equations and Dynamical Systems, 2012For a Cauchy type problem for a two-dimensional integro-differential equation of fractional order the global unique existence of a solution is proved if the nonlinearity satisfies a global Lipschitz condition with a sufficiently small Lipschitz constant.
Abbas, Saïd +2 more
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International Journal of Computational Mathematics, 2019
We consider a linear singularly perturbed Volterra integro-differential equation. Our aim is to design and analyse a finite difference method which is robust with respect to the perturbation parameter to solve this equation.
Bakulikira C. Iragi, J. Munyakazi
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We consider a linear singularly perturbed Volterra integro-differential equation. Our aim is to design and analyse a finite difference method which is robust with respect to the perturbation parameter to solve this equation.
Bakulikira C. Iragi, J. Munyakazi
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Global nonexistence for an integro‐differential equation
Mathematical Methods in the Applied Sciences, 2011The initial boundary value problem for an integro‐differential equation with nonlinear damping and source terms in a bounded domain is considered. By modifying the method in a work by Autuori et al. in 2010, we establish the nonexistence result of global solutions with the initial energy controlled by a critical value.
Wu, Shun-Tang, Lin, Ching-Yan
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On a System of Integro-Differential Equations
SIAM Journal on Applied Mathematics, 1971In this paper a system of integro-differential equations arising in reactor dynamics is studied. To obtain existence theorems and some qualitative properties of the solution we use methods of functional analysis, specifically, the theory of strongly continuous semigroups of operators on a Banach space. In Appendix A, a lemma is proved about convergence
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New approximation method for Volterra nonlinear integro-differential equation
Asian-European Journal of Mathematics, 2019In this work, we build a new numerical method to approximate the solution of Volterra’s nonlinear integro-differential equation. This method needs fewer conditions to converge, compared to the direct Nytröm method.
S. Segni, M. Ghiat, H. Guebbai
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