Construction of Some K-step Implicit LMM to RKMT for IVP First ODE'S

Two implicit Hybrid block methods at step length k=2 and 3 were derived through collocation procedures. The two derived block methods also reconstructed to equivalent S stage Runge-Kutta type methods for the solution of y^'=f(x,y). Both methods were tested on the same numerical experiments. Runge-Kutta Type Methods (RKTM) gives better result over the equivalent linear multi-step methods of the same value of step length k.

Mohammed Sani Mohammed born 1970 in Hadejia, Jigawa State Nigeria. Obtained Msc in Applied Mathematics NDA, Kaduna, MBA Mgt ATBU,Bauchi,PGD Comp.Science ABU Zaria,PGD Banking &Finance Unimaid,BSc Ed Mathematics University of Abuja,NCE Maths/Physics JSCOE Gumel. Worked with Power Sector from 1997-2017 up to Rank of Area Manager.And a fellow of ICAN.