Singular Higher Order Divergence-Conforming Bases of Additive Kind and Moments Method Applications to 3D Sharp-Wedge Structures [PDF]
We present new subsectional, singular divergence conforming vector bases that incorporate the edge conditions for conducting wedges. The bases are of additive kind because obtained by incrementing the regular polynomial vector bases with other ...
GRAGLIA, Roberto +2 more
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In this work, an innovative technique is presented to solve Emden–Fowler-type singular boundary value problems (SBVPs) with derivative dependence. These types of problems have significant applications in applied mathematics and astrophysics.
Shabanam Kumari +2 more
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Algebraization in Stability Problem for Stationary Waves of the Klein-Gordon Equation
Nonlinear traveling waves of the Klein-Gordon equation with cubic nonlinearity are considered. These waves are described by the nonlinear ordinary differential equation of the second order having the energy integral.
Nataliia Goloskubova, Yuri Mikhlin
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Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient [PDF]
This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis.In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE ...
Mikhailov, SE, Mohamed, NA
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Further numerical techniques for planar elastostatic analysis by the boundary integral equation method [PDF]
Includes bibliography.Prior experience of the Finite Element Method stimulated interest and led to research into the Boundary Integral Equation Method, specifically for the solution of planar elastostatic problems.
Howell, Graham Conrad
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Fractional differential equations (FDEs) are of great significance for describing complex physical processes with memory and genetic characteristics. The introduction of the p-Laplacian operator can expand its applicability in nonlinear problems.
Haiyan Li
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Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology
We introduce an efficient recursive scheme based on Adomian decomposition method (ADM) for solving nonlinear singular boundary value problems. This approach is based on a modification of the ADM; here we use all the boundary conditions to derive an ...
Randhir Singh +2 more
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Positive Solutions of a Hammerstein Integral Equation with a Singular Nonlinear Term, II
The author presents the existence of a positive measurable solution of a Hammerstein equation of the first kind with a singular nonlinear term at the origin. In section 1 the assumptions and the two theorems obtained are stated. Sections 2, 3 and 4 contain the demonstration and proof of the theorems. Sections 5 and 6 are dedicated to Appendices 1 and 2.
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Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation
We propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
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On A System Of Nonlinear Singular Integral Equations In An Euclidean Space Rn
The author considers a system of nonlinear singular integral equations in the case when this system may be uncountable. The investigation is based on the topological method and on the general Schauder-Tikhonov theorem. Under some assumptions she gives conditions for the existence of the solution of the considered problem.
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