Shatalov, MFedotov, IJoubert, SV2009-03-242009-03-242008-09Shatalov, M, Fedotov, I and Joubert, SV. 2008. Novel method of interpolation and extrapolation of functions by a linear initial value problem. Technology and its Integration into Mathematics Education Conference (TIME). Buffelspoort, South Africa, 22 - 26 September 2008, pp 93-1009780620434546http://hdl.handle.net/10204/3246Buffelspoort TIME2008 Peer-reviewed Conference Proceedings, 22 – 26 SeptemberA novel method of function approximation using an initial value, linear, ordinary differential equation (ODE) is presented. The main advantage of this method is to obtain the approximation expressions in a closed form. This technique can be taught in the classroom to undergraduates that have completed a first course in ODE using DERIVE or some other computer algebra system (CAS), because of the computing power available today. It can also be included in an ODE course as an “application” of ODE using DERIVE or some other CASenOrdinary differential equationODEInterpolationExtrapolationComputer algebra systemCASBuffelspoort TIME 2008 Peer-reviewed Conference ProceedingsTechnology and its Integration into Mathematics Education ConferenceTIMEConference PresentationShatalov, M., Fedotov, I., & Joubert, S. (2008). Novel method of interpolation and extrapolation of functions by a linear initial value problem. Buffelspoort TIME 2008 Peer-reviewed Conference Proceedings. http://hdl.handle.net/10204/3246Shatalov, M, I Fedotov, and SV Joubert. "Novel method of interpolation and extrapolation of functions by a linear initial value problem." (2008): http://hdl.handle.net/10204/3246Shatalov M, Fedotov I, Joubert S, Novel method of interpolation and extrapolation of functions by a linear initial value problem; Buffelspoort TIME 2008 Peer-reviewed Conference Proceedings; 2008. http://hdl.handle.net/10204/3246 .TY - Conference Presentation AU - Shatalov, M AU - Fedotov, I AU - Joubert, SV AB - A novel method of function approximation using an initial value, linear, ordinary differential equation (ODE) is presented. The main advantage of this method is to obtain the approximation expressions in a closed form. This technique can be taught in the classroom to undergraduates that have completed a first course in ODE using DERIVE or some other computer algebra system (CAS), because of the computing power available today. It can also be included in an ODE course as an “application” of ODE using DERIVE or some other CAS DA - 2008-09 DB - ResearchSpace DP - CSIR KW - Ordinary differential equation KW - ODE KW - Interpolation KW - Extrapolation KW - Computer algebra system KW - CAS KW - Buffelspoort TIME 2008 Peer-reviewed Conference Proceedings KW - Technology and its Integration into Mathematics Education Conference KW - TIME LK - https://researchspace.csir.co.za PY - 2008 SM - 9780620434546 T1 - Novel method of interpolation and extrapolation of functions by a linear initial value problem TI - Novel method of interpolation and extrapolation of functions by a linear initial value problem UR - http://hdl.handle.net/10204/3246 ER -