English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Recently Walsh function methods have been developed for the numerical solution of several classes of problems, mainly linear and nonlinear integral equations of both Volterra and Fredholm types. In addition, modifications of the basic approach have led to the solution of functional differential equations, variational problems and parameter estimation problems. Linear Volterra integral equations are re-written as Fredholm integral equations with appropriately modified kernels. In this Fredholm equation form, the Walsh function solution method is more efficient than directly solving the Volterra equation. Walsh function methods are spectral methods but they have a natural grid interpretation. Multigrid methods and a variation on the use of Richardson extrapolation are used on six well known Volterra test problems, re-written in Fredholm form, to illustrate that these methods provide effective and efficient solution methods.

Volterra integral equations solved in Fredholm form using Walsh functions