2005/12/14 by Patrick McLean, McLean, Patrick
Engineering · Mathematics · Physics and Astronomy · #34B40 #76B07 #Classical Analysis and ODEs (math.CA) #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical methods in engineering #math.CA #msc:34B40 #msc:76B07
paper · pdf · doi:10.48550/arxiv.math/0512303
8 pages, 1 figure, draft
arxiv created 2005/12/14 · openalex publication_date 2005/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A problem of linear surface waves discussed by Forbes(1984) initially gave rise to a singular integrodifferential equation over the real line. We have been able to transform this integrodifferential equation into a linear second order differential equation whose solution has been found explicitly in terms of the sine and cosine integral functions. Furthermore, we have been able to recover known results of physical interest using more simple techniques.