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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This work investigates a new approach to find closed form analyticalapproximate solution of linear initial value problems. Classical Bernoullipolynomials have been used to derive a finite set of orthonormal polynomialsand a finite operational matrix to simplify derivatives of dependent variable.These orthonormal polynomials together with the operational matrix of relevantorder provides a good approximation to the solution of a linear initial valueproblem. Depending upon the nature of a problem, a series form approximation ornumerical approximation can be obtained. The technique has been demonstratedthrough three problems. Approximate solutions have been compared with availableexact or other numerical solutions. High degree of accuracy has been noted innumerical values of solutions for considered problems.

A new approach to find an approximate solution of linear initial value problems