Boundary regularized integral equation formulation of the Helmholtz equation in acoustics [PDF]
Royal Society Open Science, 2015 A boundary integral formulation for the solution of the Helmholtz equation is developed in which all traditional singular behaviour in the boundary integrals is removed analytically.
Qiang Sun +3 more
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Boundary value problem for the heat equation with a load as the Riemann-Liouville fractional derivative [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 A boundary value problem for a fractionally loaded heat equation is considered in the first quadrant. The loaded term has the form of the Riemann-Liouville’s fractional derivative with respect to the time variable, and the order of the ...
A.V. Pskhu +4 more
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Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem [PDF]
, 2005 An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed.
Mikhailov, SE, Nakhova, IS
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Unique solvability of boundary value problem for functional differential equations with involution [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for systems of Fredholm type integral-differential equations with involutive transformation, containing derivative of the required function on the right-hand side under the integral sign ...
K.Zh. Nazarova, K.I. Usmanov
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Analysis of Two-Dimensional Heat Transfer Problem Using the Boundary Integral Equation
Advances in Mathematical Physics, 2022 In this paper, we examine the problem of two-dimensional heat equations with certain initial and boundary conditions being considered. In a two-dimensional heat transport problem, the boundary integral equation technique was applied.
Nimona Ketema Kebeba, Gizaw Debito Haifo
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Mathematical Modelling and Analysis, 2022 The time-dependent Laplace-type equation of variable coefficients for anisotropic inhomogeneous media is discussed in this paper. Numerical solutions to problems which are governed by the equation are sought by using a combined Laplace transform and ...
Mohammad Ivan Azis
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Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Steklov Mathematical Institute RAS.Applying the two-operator approach, the mixed (Dirichlet–Neumann) boundary value ...
Mikhailov, SE, Ayele, TG
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Analysis of some localized boundary-domain integral equations [PDF]
, 2009 Some direct segregated localized boundary-domain integral equation (LBDIE) systems associated with the Dirichlet and Neumann boundary value problems (BVP) for a scalar "Laplace" PDE with variable coefficient are formulated and analysed. The parametrix is
Mikhailov, SE +2 more
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A Source Problem for the Helmholtz Equation via a Dirichlet-to-Neumann Map
Abstract and Applied Analysis, 2021 In this paper, we consider a source problem for a time harmonic acoustic wave in two-dimensional space. Based on the boundary integral equation method, a Dirichlet-to-Neumann map in terms of boundary integral operators on the boundary of the source is ...
Kuo-Ming Lee
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To solving the fractionally loaded heat equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we consider a boundary value problem for a fractionally loaded heat equation in the class of continuous functions. Research methods are based on an approach to the study of boundary value problems, based on their reduction to integral ...
M.T. Kosmakova +2 more
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