Approximate solution of certain dual trigonometric series

Abstract EN

This paper gives an accurate and fast approximations method of the solution of dual series equations of the form: ∞∑ n=0 (n + 1/2) An sin(n + ½) x = f(x) , 0 < x < c, ∞∑ n=0 (1 + H„)A„sin(n + ½) = g(x), c

The main advantage of this method is that, by solving a system of finite linear equations, one can obtain any arbitrarily large number of the coefficients {A„}.

The method of solution is suited for harmonic mixed boundary value problem corresponding to a microstrip transmission line and numerical computation of the line capacitance.

An error bound is estimated.