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 ...
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Some results for Volterra integro-differential equations depending on derivative in unbounded domains
... [3] Anichini G. and Conti G. (2018). “Existence of Solutions for Volterra Integro-Differential Equations with Implicit Derivative”. International Journal of Scientific and Innovative ...
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Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order
... Generalized Differential Transformation Method (GDTM) for approximating the solution of systems of linear volterra integro-differential equations of fractional of fractional is ...
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A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations
... In this paper, the Bernoulli spectral method is implemented for solving nonlinear fractional Volterra integro-differential equations. The properties of Bernoulli polynomials together with the ...
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Efficient algorithms for solving nonlinear Volterra integro differential equations with two point boundary conditions
... EFFICIENT ALGORITHMS FOR SOLVING NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH TWO POINT BOUNDARY CONDITIONS LE.. GAREY and R.E.[r] ...
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The stability of collocation methods for higher order Volterra integro differential equations
... these equations and many other interesting methods for the approximated solution, stability procedures and applications are available in earlier literatures [1, 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, ...
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A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations
... In this paper the use of rational Chebyshev (RC) collocation method for solving high-order linear FVIDE with variable coefficients is investigated. The high-order linear FVIDE and the given conditions are transformed to ...
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A spectral collocation method for stochastic Volterra integro differential equations and its error analysis
... integro-differential (SVID) equations based on the Legendre-spectral collocation method. In order to fully use the properties of orthogonal polynomials, we use some function and a variable transformation to ...
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14. On the stability and instability of functional Volterra integro-differential equations of first order
... Mathematical models are powerful tools used to describe real world problems in mathematical language and concepts. In the relative literature, one of famous mathematical models is known as the (VIDE), which appeared ...
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Solving nonlinear Volterra integro differential equations of fractional order by using Euler wavelet method
... Wavelet theory is a relatively new and an emerging area in the field of applied science and engineering. Wavelets permit the accurate representation of a variety of functions and operators. Moreover, wavelets establish a ...
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The Analytical Solution of Parabolic Volterra Integro- Differential Equations in the Infinite Domain
... parabolic Volterra integro‐differential equation with three different kinds of memory kernel in the infinite ...parabolic Volterra integro‐differential equation are consist of ...
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Fixed points for cyclic R-contractions and solution of nonlinear Volterra integro-differential equations
... Our result extends and unifies fixed point results involving Boyd-Wong cyclic contractions , Meir-keeler cyclic contractions , and Geraghty cyclic contraction mappings.. Applying our resul[r] ...
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Application of reproducing kernel Hilbert space method for solving second order fuzzy Volterra integro differential equations
... The main goal of this article is to solve second-order FVIDEs in the Hilbert space W 2 3 [a, b] ⊕ W 2 .3 [a, b] under the assumption of strongly generalized differentiability. More precisely, we provide a numerical ...
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Reliability of difference analogues to preserve stability properties of stochastic Volterra integro differential equations
... Volterra integro-differential equations arise in the modelling of hereditary systems (i.e., systems where the past influences the present) such as population growth, pollution, fi- nancial markets and ...
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A method for fractional Volterra integro differential equations by Laguerre polynomials
... This problem was also solved by Awawdeh et al. [19] with the homotopy analysis method. They found the approximate solution for N = 5, but they did not state the numer- ical results of the errors of their method. Besides, ...
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A shooting method for singular nonlinear second order Volterra integro differential equations
... 6 1969, 365-374 [8] NA, T.Y., Computanonal Methods in Engineering Boundary Value Problems, Academic Press, New York 1979 [9] SHAW, R.E and GAREY, L.E., Monotonic approximations for nonli[r] ...
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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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The coupled method for singularly perturbed Volterra integro differential equations
... parabolic integro- differential equations with a weakly singular kernel and provided the error ...the Volterra integro-differential equa- tion with a weakly singular kernel, and the exponential ...
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Stability results for set solution of fuzzy integro-differential systems
... set integro-differential equa- ...fuzzy Volterra integro- differential equations of the second kind with fuzzy kernel under strongly generalized ...control integro- ...
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Vol 6, No 10 (2015)
... functional equations, such an ordinary or partial differential equations, integral and integro-differential equations and stochastic ...contain integro-differential ...
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