Integro Differential Equation
A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel
... L norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction and to show that the combination of the compact finite difference approximation and product trapezoidal ...
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Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method
... partial differential equations, and integral and integro-differential ...contain integro-differential equations; these equations arise in many fields like physics, astronomy, potential ...
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Method For Solving Fuzzy Integro-Differential Equation By Using Fuzzy Laplace Transformation
... integral equation of the second kind in crisp case Badolian ...integral equation of second kind by using Adomian ...fuzzy differential equations, fuzzy integral equations ...fuzzy ...
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Evaluation of numerical integration schemes for a partial integro differential equation
... Numerical methods are important in computational neuroscience where com- plex nonlinear systems are studied. This report evaluates two methodologies, finite differences and Fourier series, for numerically integrating a ...
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Multigrid Solution of an Elliptic Fredholm Partial Integro Differential Equation with a Hilbert Schmidt Integral Operator
... partial integro-differential equation (PIDE) is an equation composed of a partial-differential term and an integral ...partial-integro differential equations has attracted ...
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A new numerical scheme for solving system of volterra integro differential equation
... Genocchi polynomial is defined via the Bernoulli polyno- mial as given in Eq. (2). Therefore, the absolute error of apply- ing Genocchi polynomial to solving system of Volterra integro-differential ...
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Numerical Solution of Fractional Integro-differential Equation by Using Cubic B-spline Wavelets
... The article is organized as follows: We begin by introducing some necessary definitions and mathematical preliminaries of the fractional calculus theory. Then cubic B-spline wavelets and function approximation by them ...
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Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... nonlinear differential and Fredholm- Volterra integral and integro-differential-difference equations [5, 6, 7, 15, 18, ...nonlinear integro differential equations are exist, for example ...
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A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
... A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation.. Sirunya Thanompolkrang 1 and Duangkamol Poltem 1,2, *.[r] ...
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Generalized Monotone Iterative Method for Caputo Fractional Integro-differential Equation
... sequence converging to a solution of the considered problem defined by (10) and (11). In this approach, we do not need to prove the existence of solution for BVP of nonlinear Caputo fractional integro ...
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Existence, Uniqueness And Stability Solution Of Non-Linear System Of Integro-Differential Equation Of Volterra Type
... integral equation is a functional equation in which the unknown function appears under one or several integral signs; if, in addition, the equation contains a derivative of this function, we call the ...
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CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH NONLOCAL CONDITIONS IN BANACH SPACE
... nonlinear integro-differential equation of frac- tional order α ∈ (0, 1) with nonlocal conditions in Banach ...fractional differential operator is taken in the Caputo ...
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2. Stability of a linear integro-differential equation of first order with variable delays
... Abstract. We consider a linear integro-differential equation (IDE) of first order with two variable delays. We construct new conditions guaranteeing the trivial solution of this IDE is stable. The ...
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Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators
... impulsive differential equations have become an active area of research due to their demon- strated applications in widespread fields of science and engineering such as biology, physics, control theory, population ...
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Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro Differential Equation
... To the best of our knowledge, the study of the existence of asymptotically almost periodic solutions of neutral integro-differential equations with unbounded delay described in the abstract form 1.1 is an untreated ...
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Numerical Solution of a Nonlinear Integro-Differential Equation
... nonlinear integro- differential equation modeling the temporal variation of the mean number density a(t) in the single-species annihilation reaction A + A → ∅ is ...the equation is divergent) uses ...
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Blow-up of solution for an integro-differential equation with arbitrary positive initial energy
... This type of problem have been considered by many authors and several results concern- ing existence, nonexistence, and asymptotic behavior have been established. Equation (.) was first studied by Torrejón and ...
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Galerkin method applied to telegraph integro-differential equation with a weighted integral condition
... hyperbolic integro-differential equation ...similar integro-differential equations, for exam- ple, in [, ] the authors have established the existence and uniqueness of the solution using Rothe’s ...
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The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space
... of Schauder fixed point theorem for semilinear Banach space has been done by Agarwal et al. [1]. Since R F is a semilinear Banach space, this theorem can be used in fuzzy differential equations. The advantage of this fixed ...
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On existence of solutions of a impulsive stochastic partial functional integro differential equation with the measure of noncompactness
... and integro-differential systems is linked to their utility in simulating processes and phenomena subject to short-time perturbations during their ...and integro-differential systems have be- come an ...
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