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