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integro-differential equations

The Legendre Wavelet Method for Solving Singular Integro-differential Equations

The Legendre Wavelet Method for Solving Singular Integro-differential Equations

... singular integro-differential equations arise in connection with solving some special type of mixed boundary value problems involving the two dimensional Laplace’s equation in the quarter ...singular ...

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Optimum Solutions of Fredholm and Volterra Integro-differential Equations

Optimum Solutions of Fredholm and Volterra Integro-differential Equations

... Abstract: Integro-differential equations arise in modeling various physical and engineering ...solving integro-differential ...type integro-differential equations ...

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A Strong Method for Solving Systems of Integro Differential Equations

A Strong Method for Solving Systems of Integro Differential Equations

... In recent years, many different orthogonal functions and polynomials have been used to approximate the solution of various functional equations. The main goal of using or- thogonal basis is that the equation under ...

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Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations

Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations

... The present work is motivated by the desire to obtain analytic solutions of integro-differential equations using the OHAM (Optimal Homotopy Asymptotic Method), which is recently introduced by Marica ...

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A numerical method for partial fractional Fredholm integro-differential equations

A numerical method for partial fractional Fredholm integro-differential equations

... In this paper, we presented an expansion method, based on orthonormal polyno- mials to solve PFFIDEs. We applied the presented method on three test problems and showed that the numerical results have high accuracy ...

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Numerical Solution for Solving a System of Fractional Integro-differential Equations

Numerical Solution for Solving a System of Fractional Integro-differential Equations

... and integro-differential equations of fractional order arise in many physical and engineer- ing problems such as fluid mechanics, viscoelasticity, dif- fusion processes, biology and so on ...ordinary ...

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The solving integro-differential equations of fractional order with the ultraspherical functions

The solving integro-differential equations of fractional order with the ultraspherical functions

... fractional integro-differential equations of Volterra ...the equations and generat approximations to the lower order derivatives through integration of the higher-order ...

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A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type

A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type

... Fractional integro-differential equations arise in modeling many processes in ap- plied sciences such as physics, chemistry, economy, electromagnetic, biology, engi- ...contain ...

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Differential inequalities and comparison theorems for first order hybrid integro-differential equations

Differential inequalities and comparison theorems for first order hybrid integro-differential equations

... hybrid integro-differential equations lies in the fact that they include several classes of differential and integral equations as special ...hybrid differential equations ...

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On abstract fractional integro-differential equations via measure of noncompactness

On abstract fractional integro-differential equations via measure of noncompactness

... Abstract. This paper deals with the study of existence, uniqueness and stability of solutions of fractional integro-differential equations involving Caputo derivative in Banach spaces. Our tools ...

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SOLVING HIGHER-ORDER INTEGRO DIFFERENTIAL EQUATIONS BY VIM AND MHPM

SOLVING HIGHER-ORDER INTEGRO DIFFERENTIAL EQUATIONS BY VIM AND MHPM

... and integro-differential equation using opera- tional matrix with block-pulse ...Volterra integro-differential equations ...Fredholm integro-differential equations ...

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A new numerical scheme for solving systems of integro-differential equations

A new numerical scheme for solving systems of integro-differential equations

... Volterra integro-differential ...Volterra integro- differential equations with any kind of ...of integro-differential ...

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An exponentially convergent Volterra-Fredholm method for integro-differential equations

An exponentially convergent Volterra-Fredholm method for integro-differential equations

... A novel method for the accurate numerical solution of one-dimensional, first-order Fredholm integro-differential equations has been developed by first converting the problem into a Volterra- Fredholm ...

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On mild solutions of nonlocal semilinear functional integro-differential equations

On mild solutions of nonlocal semilinear functional integro-differential equations

... partial integro- differential equations which arise in the problems with memory visco-elasticity and many other physical phe- nomena, see [1],[5],[8],[15] and the references given ...semilinear ...

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Application of the block backward differential formula for numerical solution of Volterra integro-differential equations

Application of the block backward differential formula for numerical solution of Volterra integro-differential equations

... Abstract In this paper, we consider an implicit block backward differentiation formula (BBDF) for solving Volterra Integro-Differential Equations (VIDEs). The approach given in this paper leads to ...

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Finite difference schemes for linear stochastic integro-differential equations

Finite difference schemes for linear stochastic integro-differential equations

... In this paper, we consider the non-degenerate stochastic integro-differential equation (1.1) with random coefficients and apply the method of finite differences in the time and space variables. To the best ...

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On Symbolic Approaches to Integro-Differential Equations

On Symbolic Approaches to Integro-Differential Equations

... of integro-differential algebras and their oper- ator rings [3–5, 27, 29, 45, ...as differential algebra to the broader the- ory integro-differential algebra since integral or ...

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The coupled method for singularly perturbed Volterra integro differential equations

The coupled method for singularly perturbed Volterra integro differential equations

... Volterra integro-differential equations arise in many physical and biological problems (see, ...and integro-differential equations is provided in ...

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Partial singular integro differential equations models for dryout in boilers

Partial singular integro differential equations models for dryout in boilers

... The negative minimum in the pressure at the dryout point for the constant wall temperature problem is infinite solely as a result of the singularity in the slope of the liquid film free [r] ...

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On Decay of Solutions to Systems of Integro differential Equations with Strongly Damped

On Decay of Solutions to Systems of Integro differential Equations with Strongly Damped

... Liang and Gao [10] studied the global existence, decay and blow up of solution problem 1 with the absence of the dispersive term △utt and the weak damping term ut.. In this paper, under [r] ...

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