All Outputs (2)

A Wronskian method for elastic waves propagating along a tube (2021)
Journal Article
Chapman, & Sorokin, S. (2021). A Wronskian method for elastic waves propagating along a tube. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1-19. https://doi.org/10.1098/rspa.2021.0202

A technique involving the higher Wronskians of a differential equation is presented for analysing the dispersion relation in a class of wave propagation problems. The technique shows that the complicated transcendental-function expressions which occu... Read More about A Wronskian method for elastic waves propagating along a tube.

Fractional power series and the method of dominant balances (2021)
Journal Article
Chapman, H., & Wynn, H. (2021). Fractional power series and the method of dominant balances. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20200646 - 20200646

This paper derives an explicit formula for a type of fractional power series, known as a Puiseux series, arising in a wide class of applied problems in the physical sciences and engineering. Detailed consideration is given to the gaps which occur in... Read More about Fractional power series and the method of dominant balances.