Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Abramowitz +40 more
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, 2017 The general space-time evolution of the scattering of an incident acoustic plane wave pulse by an arbitrary configuration of targets is treated by employing a recently developed non-singular boundary integral method to solve the Helmholtz equation in the
Chan, Derek Y. C. +2 more
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On Approximate Stationary Radial Solutions for a Class of Boundary Value Problems Arising in Epitaxial Growth Theory [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, we consider a non-self-adjoint, singular, nonlinear fourth order boundary value problem which arises in the theory of epitaxial growth. It is possible to reduce the fourth order equation to a singular boundary value problem of second order
Amit Kumar Verma +2 more
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Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
International Journal of Differential Equations, 2014 In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems.
S. Zuhra +5 more
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, 2018 We present an effective harmonic density interpolation method for the numerical evaluation of singular and nearly singular Laplace boundary integral operators and layer potentials in two and three spatial dimensions. The method relies on the use of Green'
Faria, Luiz M. +2 more
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Application of the Method of Boundary Integral Equations for Non-stationary Problem of Thermal Conductivity in Axially Symmetric Domain [PDF]
, 2017 The article considers the non-stationary initial-boundary problem of thermal conductivity in axially symmetric domain in Minkowski space, formulated as equivalent boundary integral equation.
Zrazhevska, V. (Vera) +1 more
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Comments on the use of block methods for solving singular boundary value problems [PDF]
ITM Web of Conferences, 2020 Singular boundary-value problems appear frequently on the modellization of many physical phenomena as in catalytic diffusion reactions, chemical kinetics, thermal-explosion theory, or electro hydrodynamics, among others.
Ramos Higinio
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Multi-Peak Solutions for a Wide Class of Singular Perturbation Problems [PDF]
, 1999 In this paper we are concerned with a wide class of singular perturbation problems arising from such diverse fields as phase transitions, chemotaxis, pattern formation, population dynamics and chemical reaction theory.
Wei, J, Winter, M
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Absolutely stable difference scheme for a general class of singular perturbation problems
Advances in Difference Equations, 2020 This paper presents an absolutely stable noniterative difference scheme for solving a general class of singular perturbation problems having left, right, internal, or twin boundary layers. The original two-point second-order singular perturbation problem
Essam R. El-Zahar +5 more
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Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions [PDF]
, 2019 In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind.
Bao, Gang, Xu, Liwei, Yin, Tao
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