A Fifth Order Runge-Kutta RK(5, 5) Method With Error Control

References

• Evans , D. J. and Yaakub , A. R. 1995 . A new fourth order Runge-Kutta formula based on the contraharmonic mean . Intern. J. Computer Math. , 57 : 249 – 256 .
   Web of Science ®Google Scholar
• Evans , D. J. and Yaakub , A. R. 1996 . A new fifth order weighted Runge-Kutta formula . Intern. J. Computer Math. , 59 : 227 – 243 .
   Web of Science ®Google Scholar
• Evans , D. J. and Yaakub , A. R. 1998 . Weighted fifth-order Runge-Kutta formula for second-order differential equations . Intern. J. Computer Math. , 70 : 233 – 239 .
   Web of Science ®Google Scholar
• Lotkin , M. 1951 . On the accuracy of RK methods . MTAC , 5 : 128 – 132 .
   Google Scholar
• Merson , R. H. An operational method for the study of integrating processes . Proc. Symp. Data Processing, Weapon Research Establishment . Salisbury , South Australia.
   Google Scholar
• Yaakub , A. R. and Evans , D. J. 1995a . The Runge-Kutta contraharmonic mean method with extrapolation for the parallel solution of ODEs . Parallel Algorithms and Applications , 6 : 111 – 128 .
   Google Scholar
• Yaakub , A. R. and Evans , D. J. 1995b . A new Runge-Kutta RK (4, 4} method . Intern. J. Computer Math. , 58 : 169 – 187 .
   Web of Science ®Google Scholar
• Yaakub , A. R. and Evans , D. J. 1996 . A New Fifth Order Contraharmonic Mean Weighted Runge-Kutta Formula for Initial Value Problems , Report No. 993 Loughborough University of Technology, Department of Computer Studies .
   Google Scholar
• Yaakub , A. R. and Evans , D. J. 1998 . High order integration formula using trigonometric polynomials for periodic IVPs . Intern. J. Computer Math. , 66 : 277 – 297 .
   Web of Science ®Google Scholar
• Yaakub , A. R. and Evans , D. J. 1999a . New Runge-Kutta starters for multistep methods . Intern. J. Computer Math. , 71 : 99 – 104 .
   Web of Science ®Google Scholar
• Yaakub , A. R. and Evans , D. J. 1999b . A fourth order Runge-Kutta RK (4,4} method with error control . Intern. J. Computer Math. , 71 : 383 – 411 .
   Web of Science ®Google Scholar