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Titlebook: Differential Equations and Applications; ICABS 2019, Tiruchir Valarmathi Sigamani,John J. H. Miller,Parthiban Sa Conference proceedings 202

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Differential Equations and Applications978-981-16-7546-1Series ISSN 2194-1009 Series E-ISSN 2194-1017
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Determining the Currents Over Phelps Banke problem is discretized using a suitable combination of the second-order compact difference scheme and the second-order central difference scheme. The convergence analysis is given, and the method is shown to have almost second-order parameter-uniform convergence. Numerical experiments are conducted to demonstrate the efficiency of the method.
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The Energy Balance in Short Gravity Wavesn polygonal domains. This method is defined on a special mesh of Shishkin type, and its construction is described in detail. The computed orders of convergence in the numerical experiments indicate that the method is first-order uniformly convergent in the maximum norm. The second approach combining
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Determining the Currents Over Phelps Banke problem is discretized using a suitable combination of the second-order compact difference scheme and the second-order central difference scheme. The convergence analysis is given, and the method is shown to have almost second-order parameter-uniform convergence. Numerical experiments are conducte
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The Energy Balance in Short Gravity Wavession type with given boundary conditions is considered on the interval [0, 1]. In spite of coupling, only the components whose equations are perturbed exhibit boundary layers at the origin. A numerical method composed of an upwind finite difference scheme applied on a piecewise uniform Shishkin mesh
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https://doi.org/10.1007/978-94-009-2309-6ferential equations is explored. The boundary value problem is partially perturbed when . for some . and the system is partial with respect to delay when the co-efficient function of delay terms . for some . The components of the solution of this system exhibit boundary layers at . and . and interio
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https://doi.org/10.1007/978-981-19-6191-5nuous source term is considered on the interval [0, 2]. A single discontinuity in the source term is assumed to occur at a point . The leading term of the equation is multiplied by a small positive parameter. The solution of this problem exhibits boundary layers at . and . and interior layers at . a
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Principle of Doppler Velocity Measurement,sidered in this article. To obtain a numerical approximate solution, a layer adapted mesh called the Shishkin mesh is constructed. On this mesh, a fitted finite difference method with piecewise linear interpolation is applied. Also, we present some classes of nonlinear problems. An error estimate is
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