General solution for inhomogeneous line inclusion with non-uniform eigenstrain
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DOI: 10.1007/s00419-019-01539-8
Abstract: The inhomogeneous line inclusion problem has various backgrounds in practical application such as graphene sheet-reinforced composites, and hydrogen embrittlement, grain boundary segregation in metallic materials. Due to the long-standing mathematical difficulty, there is no explicit… read more here.
Keywords: line inclusion; solution inhomogeneous; inhomogeneous line; inclusion ... See more keywords
Solution of the inhomogeneous Maxwell's equations using a Born series.
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DOI: 10.1364/oe.25.025165
Abstract: An algorithm for the numerical solution of the inhomogeneous Maxwell's equations is presented. The algorithm solves the inhomogeneous vector wave equation of the electric field by writing the solution as a convergent Born series. Compared… read more here.
Keywords: solution inhomogeneous; maxwell equations; inhomogeneous maxwell; solution ... See more keywords
Solution of Inhomogeneous Fractional Differential Equations with Polynomial Coefficients in Terms of the Green’s Function, in Nonstandard Analysis
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DOI: 10.3390/math9161944
Abstract: Discussions are presented by Morita and Sato in Mathematics 2017; 5, 62: 1–24, on the problem of obtaining the particular solution of an inhomogeneous ordinary differential equation with polynomial coefficients in terms of the Green’s… read more here.
Keywords: differential equation; solution inhomogeneous; polynomial coefficients; fractional differential ... See more keywords
Solution of an inhomogeneous biharmonic equation in a multiconnected domain
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DOI: 10.47974/jim-2237
Abstract: This study aims to investigate the theoretical dimensions of employing inhomogeneous biharmonic equations in the modelling of plates and shells. The methodologies utilised include the analytical method, Green’s functions method, separation of variables method, and… read more here.
Keywords: multiconnected domain; equation multiconnected; solution inhomogeneous; plates shells ... See more keywords