one-dimensional integral equations
Numerical solution of two-dimensional integral equations of the first kind by multi-step methods
... Volterra integral equations of the first ...solve one-dimensional integral ...for one-dimensional linear Volterra integral equations of the first ...
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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD
... two dimensional integral (NLTD) equations of the second kind have been exploited in several areas, including non homogeneous elasticity and electrostatics (Sankar ...of one- dimensional ...
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On the Covariant Representation of Integral Equations of the Electromagnetic Field
... Abstract—Gauss integral theorems for electric and magnetic fields, Faraday’s law of electromagnetic induction, magnetic field circulation theorem, theorems on the flux and circulation of vector potential, which are ...
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Numerical Solution of Two Dimensional Fredholm Integral Equations of the Second Kind by the Barycentric Lagrange Function*
... and integral mean value method [6] ...solve one dimensional linear Volterra-Fredholm integro-differential equations in ...two dimensional linear Fredholm integral ...
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Explicit Exact Solutions to Some One Dimensional Conformable Time Fractional Equations
... The simple equation, first integral, ansatz and various types of expansion methods are some of the recent efficient techniques that are used to solve nonlinear PDEs. The developments on the fractional derivatives ...
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Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
... is one of the most often applied tools in modern approximation theory due to spectral accuracy, flexibility with respect to geometry, dimensional indepen- dence and ease of implementation especially when ...
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Applications of one and two dimensional Volterra inequalities in differential equations of the hyperbolic type
... hyperbolic equations. Section 2 is concerned with fundamental remarks for one-dimensional Volterra integral equations based on the theory integral ...hyperbolic equations. ...
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A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations
... solving one dimensional Fredholm integral ...of equations (4) has also a structure that permits us to approximate its solution by a similar successive iterative approach presented in ...
10
Deuteron stripping reaction on mirror nuclei of 16O, 28Si, 24Mg and 40Ca
... The equations of Alt , Grassberger and Sandhas for even even nuclei target(A),neutron(n) and proton(p) are reduced to a set of coupled one dimensional integral equation with the use of angular ...
9
Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional -Laplacian
... 3 B. Ahmad and S. Sivasundaram, “Existence of solutions for impulsive integral boundary value problems of fractional order,” Nonlinear Analysis: Hybrid Systems, vol. 4, no. 1, pp. 134–141, 2010. 4 D. D. Ba˘ ınov ...
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Numerical Solution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions
... hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation usually is of major challenge in the frame work of the numerical solutions of partial differential ...is ...
10
Including Arbitrary Geometric Correlations into One-Dimensional Time-Dependent Schrödinger Equations
... An example of the practical utility of the SSE, a Monte Carlo simulation scheme to describe quantum electron transport in open systems that is valid both for Markovian or non-Markovian regimes and that guarantees a ...
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Dissipation Limit for the Compressible Navier Stokes to Euler Equations in One Dimensional Domains
... First, we derive some necessary estimates on the rarefaction waves of the Euler equations (1.13) based on the inviscid Burgers equation, in particularly, we con- struct an explicit smooth 1-rarefaction wave which ...
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Degenerate Parametric Integral Equations System for Laplace Equation and Its Effective Solving
... Even from theoretical point of view, that strategy has a significant advantage over direct application of collocation method for solving PIES. In conventional PIES we have to calculate integrals for all of matrix ...
6
The decomposition method for linear, one dimensional, time dependent partial differential equations
... Since the case N = 1, M = 5 of (1.1) is not a model of any well-known physical situ- ation, it is not considered here, although one may think of it as a linear fifth-order KdV equation, see [30]. Finally, we ...
29
Vol 5, No 3 (2014)
... Inequality (1) , provides an explicit bound on the unknown function and hence furnishes a handy tool in the study of qualitative and quantitative properties of solution of differential and integral ...
5
Comparison between Adomian’s Decomposition Method and Toeplitz Matrix Method for Solving Linear Mixed Integral Equation with Hilbert Kernel
... In this paper, we applied (LADM) for solution two dimensional linear mixed integral equations of type Volterra- Fredholm with Hilbert kernel. Additionally, comparison was made with Toeplitz matrix ...
7
The limits of coefficients of the species diffusion and the rate of reactant to one dimensional compressible Navier–Stokes equations for a reacting mixture
... Stokes equations for a reacting gas have been investigated by Gardner (see [6]) and Wagner (see [7]), and they confirmed some phenomena observed in numerical calculations and predicted by the ZND theory, which has ...
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On the Cubic Diophantine Equation with Four Unknowns $x^2+y^2=z^3-w^3$
... Diophantine equations are rich in variety due to their definition, one may attempt to find integer solutions to higher degree Diophantine equations with multiple variables along with their suitable ...
11
Transport and Separatrices in Time Dependent Flows
... Coherent Structures (LCS) in aperiodic flows, as originally developed by Haller, is applied to geophysical flows, and flows in the phase space of second order dynamical systems. In this approach, the LCS are identified ...
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