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Original Articles

A fourth order Runge–Kutta RK(4,4) method with error control

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Pages 383-411 | Received 15 May 1996, Published online: 20 Mar 2007

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Thaer Alsultan, Hussein M. Ali & Qussay Y. Hamid. (2018) A numerical approach for solving problems in robotic arm movement. Production & Manufacturing Research 6:1, pages 385-395.
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V. Murugesh & K. Murugesan. (2009) RK–Butcher algorithms for singular system-based electronic circuit. International Journal of Computer Mathematics 86:3, pages 523-536.
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Devarajan Gopal, V. Murugesh & K. Murugesan. (2006) Numerical solution of second-order robot arm control problem using Runge–Kutta–Butcher algorithm. International Journal of Computer Mathematics 83:3, pages 345-356.
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K. Murugesan, S. Sekar, V. Murugesh & DavidJ. Evans. (2005) Numerical strategies for the system of first-order IVPS using the RK–Butcher algorithm. International Journal of Computer Mathematics 82:11, pages 1379-1387.
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J. Y. Park, David J. Evans, K. Murugesan & S. Sekar. (2005) Optimal control of time-varying singular systems using the RK–Butcher algorithm. International Journal of Computer Mathematics 82:5, pages 617-627.
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J. Y. Park, David J. Evans, K. Murugesan , S. Sekar & V. Murugesh. (2004) Optimal control of singular systems using the rk–butcher algorithm . International Journal of Computer Mathematics 81:2, pages 239-249.
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D. J. Evans & A. R. Yaakub. (2002) A Fifth Order Runge-Kutta RK(5, 5) Method With Error Control. International Journal of Computer Mathematics 79:11, pages 1179-1185.
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K. Murugesan, D. Paul Dhayabaran, E. C. Henry Amirtharaj & DavidJ. Evans. (2002) A Fourth Order Embedded Runge-Kutta RKACeM(4,4) Method Based on Arithmetic and Centroidal Means with Error Control. International Journal of Computer Mathematics 79:2, pages 247-269.
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Gour Chandra Paul, Sukumar Senthilkumar & Hafijur Rahman. (2020) On the implementation of novel RKARMS(4,4) algorithm to study the structures of initial extrasolar giant protoplanets. Heliyon 6:1, pages e02865.
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Moses A. Akanbi & Kailash C. Patidar. 2012. Modeling and Simulation in Engineering, Economics and Management. Modeling and Simulation in Engineering, Economics and Management 259 269 .
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R. Ponalagusamy & S. Senthilkumar. (2007) A new fourth order embedded RKAHeM(4,4) method with error control on multilayer raster cellular neural network. Signal, Image and Video Processing 3:1, pages 1-11.
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S. Sekar. (2006) Analysis of linear and nonlinear stiff problems using the RK-Butcher algorithm. Mathematical Problems in Engineering 2006, pages 1-15.
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