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Showing 1 to 6 of 6 for “"Volterra integral equation"”.
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Solution Representation and Indentification for Singular neutral Functional Differential Equations
… for a class of Neutral Functional Di erential Equations (NFDE) with weakly singular kernels are studied. Using singular expansion techniques, a representation of the solution of the NFDE is obtained by studing an associated Volterra Integral Equation. We study the Collocation Method as a …
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The SIR Model When S(t) is a Multi-Exponential Function.
… as a system of nonlinear ordinary differential equations or as a nonlinear Volterra integral equation. In general, neither of these can be solved in closed form. In this thesis, it is shown that if we assume <em>S</em>(<em>t</em>) is a finite multi-exponential, i.e. function of the form …
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The Solution of a Singular Integral Equation Arising From a Lifting Surface Theory for Rotating Blades
… solution of a linear, two dimensional, singular, Volterra integral equation of the first kind. The integral equation, originally developed by Farassat and Myers, is derived from the basic equations of linearized acoustics and models the lifting force experienced by an infinitesimally thin surface …
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Internal flow subjected to an axial variation of the external heat transfer coefficient
… to convert the governing partial differential equations into a singular Volterra integral equation for the temperature of the fluid at the wall. The integral equation is resolved numerically by the trapezoid rule with the aid of a singularity subtraction procedure. The solution methodology is …
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Spectral hulls: a degree of freedom reducing hp-strategy in space/time
… into a space-time hull. A general system of Volterra integral equation is then developed which is simultaneously applicable to $\partial^v /\partial t^v$ time dependency of the PDE. The reduction in DOF is demonstrated by validating a one-dimensional periodic convection test case and …
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Some stochastic integral and discrete equations of the volterra and fredholm types with applications
Random or stochastic integral equations occur frequently in the mathematical description of random phenomena in engineering, physics, biology, and oceanography. The present study is concerned with random or stochastic integral equations of the Volterra type in the form x(t;w) = h(tiW) + fa …