A priori error estimates for Corrington's Walsh function method
\textit{M. S. Corrington} [IEEE Trans. Circuit Theory, CT-20, No. 5, 470-476 (1973)], introduced the following method for solving linear differential equations: The differential equation is transformed into an integral equation for the highest derivative, which is solved approximately by a truncated Walsh series, and an approximation for the wanted solution is obtained by integration. The paper derives a priori error estimates in \(L^ 2\) norm for the approximation of the highest derivative, which imply the convergence of Corrington's method. A numerical example is discussed.
scientific article; zbMATH DE number 754586
scientific article