Rational approximations for solving cauchy problems

Year 2016, Volume: 4 Issue: 3, 254 - 262, 30.09.2016

Veyis Turut , Mustafa Bayram

Abstract

In this letter, numerical solutions of Cauchy problems
are considered by multivariate Padé approximations (MPA). Multivariate Padé
approximations (MPA) were applied to power series solutions of Cauchy problems
that solved by using He’s variational iteration method (VIM). Then, numerical
results obtained by using multivariate Padé approximations were compared with
the exact solutions of Cauchy problems.

Keywords

Cauchy problem, inviscid Burger’s equation

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