A Boubaker Polynomials Expansion Scheme Solution to Random Love’s Equation in the Case of a Rational Kernel

摘要

A polynomial expansion scheme is proposed as an analytical method for solvingLove’s integral equation in the case of a rational kernel. The tangible advantage of the usedmethod, namely the Boubaker polynomials expansion scheme, is the proposition of a piecewisecontinuous infinitely derivable solution. Comparison with some results proposed in the relatedliterature has been also carried out.