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Showing 1 to 20 of 67 for “"Integro-differential"”.
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Efficient schemes on solving fractional integro-differential equations
Fractional integro-differential equation (FIDE) emerges in various modelling of physical phenomena. In most cases, finding the exact analytical solution for FIDE is difficult or not possible. Hence, the methods producing highly accurate numerical solution in efficient ways are often sought after. …
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Positivity preserving solutions of partial integro-differential equations
Differential equations are one of the primary tools for modeling phenomena in chemical engineering. While solution methods for many of these types of problems are well-established, there is growing class of problems that lack standard solution methods: partial integro-differential equations. The …
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Phenotype-structured integro-differential models: derivation and qualitative analysis
L'abstract è presente nell'allegato / the abstract is in the attachment
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Partial singular integro-differential equations models for dryout in boilers
… The resulting unsteady nonlinear singular integro-differential equation for the liquid film free surface is solved asymptotically and numerically (using some regularisation techniques) in the steady state case, for a number of industrially relevant cases. Predictions for the length to the …
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations
… studying the asymptotic properties of Volterra integro-differential equations. The type of stability that has been established for this class of equations is important in a variety of real-world problems which involve feedback from the past, and are subject to external random forces. These …
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Existence and Asymptotic Behavior of Solutions to Linear Integro-Differential - Difference Equations
Made available in DSpace on 2014-12-11T18:23:43Z (GMT). No. of bitstreams: 1 7121230.pdf: 3019155 bytes, checksum: 6bb3dd037ced66a446537ad82a1088d6 (MD5) Previous issue date: 1971
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Well-posedness and asymptotic behavior of integro-differential models in linear and nonlinear acoustics
Contains fulltext : 306599.pdf (Publisher’s version ) (Open Access)
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Volterra Systems with Realizable Kernels
… a direct Runge-Kutta method for solving Volterra integro-differential equations and Volterra delay differential equations. The internal state method requires the kernel of the Volterra integral to be realizable as an impulse response function. We discover that when applicable, the internal state …
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Numerical solution and spectrum of boundary-domain integral equations
… Integral Equation (BDIE)/ Boundary-Domain Integro-Differential Equations (BDIDEs) and Localized Boundary-Domain Integral Equation (LBDIE)/Localized Boundary-Domain Integro-Differential Equations (LBDIDEs) related to the Neumann and Dirichlet boundary value problem for a scalar elliptic PDE …
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A Forward-Backward Fluence Model for the Low-Energy Neutron Boltzmann Equation
… equation was separated into two coupled integro-differential equations describing forward and backward neutron fluence in selected materials. Linear B-splines were used to change the integro-differential equations into a coupled system of ordinary differential equations (O.D.E.'s). …
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Free surface flows over submerged obstructions
… on Cauchy’s integral formula are used to derive integro-differential equations to model the problem. The integro-differential equations are discretised and solved iteratively using Newton’s method. Both forced solitary waves and critical flow solutions, where the flow upstream is subcritical and …
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Estimates for solutions to the Dysthe equation and numerical simulations of walking droplets in harmonic potentials
… The droplet's trajectory is described by an integro-differential equation, which is simulated numerically in various parameter regimes. We produce a regime diagram that summarizes the dependence of the walker's behavior on the system parameters for a droplet of fixed size. At relatively low …
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On the solution of the equations of radiative transfer in a free-electron atmosphere
… The solution employs a transformation of the integro-differential form of the transfer equations into singular integral equations for the angular intensities of the radiation field. The Milne problem is solved to illustrate the method. In addition, the relationship is found between the above …
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Effects of shear deformations on the vibrational frequencies of wide-flanged structures
… relative to the web) is also included and the integro-differential equations appropriate to the problem are derived. The frequency equation is given in closed form (neglecting the relative flange bending) and solutions for various values of the nondimensional parameters are given. A reduction …
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The Effect of Surface Irregularities on The Elastohydrodynamic Lubrication of Sliding Line Contacts
… Reynolds and elastic surface displacement integro-differential equation in finite difference form by the Newton-Raphson technique for systems of nonlinear equations. The results of the case studies show that the presence of surface irregularities has a significant effect on the fluid film …
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Mathematical modelling of unsteady problems in thin aerofoil theory
… equation derived, which is a singular partial integro-differential equation. The Stefan condition is used to close the system. A discretisation of the equation is presented and the subsequent numerical results are analysed. The model is then revised to account for the retraction of the ice …
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