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In this paper, we
propose and analyze some schemes of the integral collocation formulation based
on Legendre polynomials. We implement these formulae to solve numerically
Riccati, Logistic and delay differential equations with variable coefficients.
The properties of the Legendre polynomials are used to reduce the proposed
problems to the solution of non-linear system of algebraic equations using
Newton iteration method. We give numerical results to satisfy the accuracy and
the applicability of the proposed schemes.
Short Retraction Notice
The substantial portions of the text came from ABDOLAMIR KARBALAIE et al, \"Exact Solution of Time-Fractional Partial Differential Equations Using Sumudu Transform\".
This article has been retracted to straighten the academic record. In making this decision the Editorial Board follows COPE's Retraction Guidelines. Aim is to promote the circulation of scientific research by offering an ideal research publication platform with due consideration of internationally accepted standards on publication ethics. The Editorial Board would like to extend its sincere apologies for any inconvenience this retraction may have caused.
Editor guiding this retraction: ？Prof. Chris Cannings？ (EiC of AM)
The full retraction notice in PDF is preceding the original paper which is marked \"RETRACTED\".