Modification on Restrictive Taylor and Padé Approximations
M. S. Abdelwahed
Department of Basic Science Engineering, Faculty of Engineering in Benha, Benha University, Benha 13512, Egypt.
Tamer M. Rageh *
Department of Basic Science Engineering, Faculty of Engineering in Benha, Benha University, Benha 13512, Egypt.
Aisha F. Fareed
Department of Basic Science Engineering, Faculty of Engineering in Benha, Benha University, Benha 13512, Egypt.
Ahmed M. Youssef
Department of Basic Science Engineering, Faculty of Engineering in Benha, Benha University, Benha 13512, Egypt.
*Author to whom correspondence should be addressed.
Abstract
We review Taylor approximation (TA), Padé approximation (PA), Restrictive Taylor approximation (RTA) and Restrictive Padé approximation (RPA). After comparing these four approximation methods with two other modified approximation methods: Modified Restrictive Taylor approximation (MRTA) and Modified Restrictive Padé approximation (MRPA), we give test examples to illustrate how the modified approximations could be used. The mathematical principles behind all these approximations could be applied for the development of new computing methods.
Keywords: Taylor polynomial, padé approximation, restrictive Taylor approximation, restrictive Padé approximation, modified restrictive Taylor approximation, modified restrictive Padé approximation