Integral Equation
The Integral Equation, Corresponding to the Ordinary Differential Equation
... differential equation (ODE) is represented as the sum of two operators: basic and supplementing ...make integral equation Volterra of II ...the integral equation are system of the ...
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Random Integral Equation of the Volterra Type with Applications
... In this Section we shall present some applications of the results of the previous Section. We shall first consider a generalization of the classical stability theorem of Poincar é and Lyapunov. We shall then study a ...
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Discretization of the Induced-Charge Boundary Integral Equation
... the integral formulation known as the apparent-surface-charge (ASC) method [32], which is also called the induced-charge computation (ICC) ...kind integral-equation method for estimating parasitic ...
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Discretization of the induced-charge boundary integral equation
... We have presented the collocation and qualocation ap- proaches to solving the ICC boundary integral equation for electrostatic analysis of channel proteins. Our results illus- trate that the computation of ...
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Hyers-Ulam stability of Volterra integral equation
... an integral equation which T : X → X is a linear integral ...the integral equation and d(y ◦ , T y ◦ ) ≤ for all t ∈ I and ≥ 0, then d(y ∗ , y ◦ ) ≤ K, which y ∗ is the exact solution ...
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Fredholm Volterra integral equation with potential kernel
... 4. Fredholm integral equation of the second kind. In this section, the general solution of Fredholm integral equation of the second kind is obtained. Also the math- ematical induction is used ...
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On the Continuous Dependence of a Functional Integral Equation with Parameter
... Functional integral equation appear in various research areas and have applications in Euclidean and non-Euclidean geometry, Mechanics, Business mathematics, Biology, and probability ...
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Hyers-Ulam Stability of Nonlinear Integral Equation
... In this paper, we proved that 1.4 has the Hyers-Ulam stability. In 1.4, ϕ is a linear transformation. It is an open problem that raises the following question: “What can we say about the Hyers-Ulam stability of the ...
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Reduces Solution of Fredholm Integral Equation to a System of Linear Algebraic Equation
... "Volterra integral equation" (VIE) where the Volterra’s significant job in this domain was complete in 1884-1896 and the second, name "Fredholm integral equation" (FIE) where ...
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The Approximation of the Chemical Reaction Rate by Solving the Integral Equation
... the integral equation results from the fact that the forms of the collision cross-sections obtained by the solution of the integral equation ...
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Integral equation for the Ahlfors map on multiply connected regions
... For solving the integral equation (3.32) numerically, the reliable procedure is by using the Nyström method with the trapezoidal rule with n equidistant nodes in each interval [6- 10]. In [10] an iterative ...
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A boundry integral equation for the 2D external potential flow
... Fredholm integral equation for the exterior Riemann problem, a boundary integral equation is developed in this paper for the two-dimensional, irrotational, incompressible fluid flow around an ...
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The Existence of Maximal and Minimal Solution of Quadratic Integral Equation
... [9] A.M.A EL-Sayed and H.H.G. Hashem, “Monotonic positive solution of nonlinear quadratic integral equation Hammerstein and Urysohn functional integral equation”. Commentationes Mathematicae, ...
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A solution of an improper integral equation of ship wave resistance
... wave equation derived and used by Michell is an improper integral ...resistance equation theoretically and experimentally using mathematical hull forms of thin ...the equation with the ...
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Integral equation theory for two-dimensional polymer melts
... To investigate the effect of molecular geometry on the performance of the theory we perform simulations for tangent-disk rods where each molecule is composed of N tangent disks arranged in a linear fashion. The ...
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Convex Solutions of a Nonlinear Integral Equation of Urysohn Type
... It should be noted that both existence results were proved with the help of a measure of noncompactness related to monotonicity introduced by Bana´s and Olszowy 7. The reader is referred also to the paper by Bana´s et ...
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A Fixed Point Approach to the Stability of a Volterra Integral Equation
... In this paper, we will adopt the idea of C˘adariu and Radu [ 12 ] and prove the Hyers- Ulam-Rassias stability and the Hyers-Ulam stability of the Volterra integral equation ( 1.2 ).. Hye[r] ...
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NUMERICAL SOLUTION OF FIRST KIND SINGULAR INTEGRAL EQUATION WITH HILBERT-TYPE MULTIPLE INTEGRAL
... lar integral equation containing a double singular ...singular integral equation with a double Hilbert-type integral is solved by the numerical method of discrete ...
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A Spectral Integral Equation Solution of the Gross Pitaevskii Equation
... tral integral equation method (S-IEM) that is not a varia- tional method. Spectral methods [26-28] are becoming increasingly significant in modern numerical approaches for their accuracy and computational ...
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Numerical quasilinearization scheme for the integral equation form of the Blasius equation
... a nonlinear Volterra integral equation. Section 3 contains a general framework for the idea of generalized quasilinearization used to solve the nonlinear integral equations. Section 4 shows using of ...
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