This paper is dedicated to proposing two numerical algorithms for solving the one- and two-dimensional heat partial differential equations ( PDEs ). In these algorithms, generalized Lucas polynomials id="M2"> GLPs ) involving parameters are utilized as basis functions. The proposed schemes in one two...

Abstract The Hilbert class polynomial has as roots the j -invariants of elliptic curves whose endomorphism ring is a given imaginary quadratic order. It can be used to compute over finite fields with prescribed number points. Since its coefficients are typically rather large, there been continued interest in finding alternative modular functions corresponding polynomials smaller. Best known Web...