A Three-Stage Multiderivative Explicit Runge-Kutta Method

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American Journal of Computational Mathematics

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"A Three-Stage Multiderivative Explicit Runge-Kutta Method"
written by Ashiribo Senapon Wusu, Moses Adebowale Akanbi, Solomon Adebola Okunuga,
published by American Journal of Computational Mathematics, Vol.3 No.2, 2013

has been cited by the following article(s):

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[3]	A four-stage multiderivative explicit Runge-Kutta method for the solution of first order ordinary differential equations
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[6]	Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems
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[7]	A HYBRID NUMERICAL METHOD WITH GREATER EFFICIENCY FOR SOLVING INITIAL VALUE PROBLEMS
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[8]	Comparison of numerical methods for solving a system of ordinary differential equations: accuracy, stability and efficiency
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[9]	Exponentially fitted two-derivative DIRK methods for oscillatory differential equations
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[10]	A new 4th order hybrid Runge–Kutta methods for solving initial value problems
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[11]	Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations
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[12]	Solution of an Initial Value Problemin Ordinary Differential Equations Using the Quadrature Algorithm Based on the Heronian Mean
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[13]	On explicit two-derivative two-step Runge–Kutta methods
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[14]	A New Third Order Iterative Integrator for Cauchy Problems
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[15]	Exponentially-fitted Fourth-Order Taylor's Algorithm for Solving First-Order ODEs
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[16]	A New 4 th Order Hybrid Runge-Kutta Methods for Solving Initial Value Problems (IVPs)
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[17]	Development of a nonlinear hybrid numerical method
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[18]	Trio-Geometric mean-based three-stage Runge–Kutta algorithm to solve initial value problem arising in autonomous systems
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[19]	Exponentially-Fitted 2-Step Simpson's Method for Oscillatory/Periodic Problems
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[20]	Derivation of three-derivative Runge-Kutta methods
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[21]	On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method
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[22]	On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method*
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[23]	A NOTE ON EXPLICIT THREE-DERIVATIVE RUNGE-KUTTA METHODS (ThDRK)
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[24]	Compact Extrapolation Schemes for a Linear Schr?dinger Equation
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[25]	Compact Extrapolation Schemes for a Linear Schrodinger Equation
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[26]	Comparative Analysis of Some New Runge-Kutta Type Techniques on the Solution of First Order Initial Value Problem in Ordinary Differential Equations

[1]	Exponentially fitted two-derivative DIRK methods for oscillatory differential equations Applied Mathematics and Computation, 2022 DOI:10.1016/j.amc.2021.126770

[2]	Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems Mathematics, 2022 DOI:10.3390/math10142392

[3]	New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems Journal of Computational Physics, 2022 DOI:10.1016/j.jcp.2022.111610

[4]	New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems Journal of Computational Physics, 2022 DOI:10.1016/j.jcp.2022.111610

[5]	Exponentially fitted two-derivative DIRK methods for oscillatory differential equations Applied Mathematics and Computation, 2022 DOI:10.1016/j.amc.2021.126770

[6]	Exponentially-Fitted Fourth-Derivative Single-Step Obrechkoff Method for Oscillatory/Periodic Problems Mathematics, 2022 DOI:10.3390/math10142392

[7]	Computational Techniques Based on Runge-Kutta Method of Various Order and Type for Solving Differential Equations International Journal of Mathematical, Engineering and Management Sciences, 2019 DOI:10.33889/IJMEMS.2019.4.2-030

[8]	On explicit two-derivative two-step Runge–Kutta methods Computational and Applied Mathematics, 2018 DOI:10.1007/s40314-018-0719-y

[9]	Exponentially-fitted Fourth-Order Taylor’s Algorithm for Solving First-Order ODEs Journal of Physics: Conference Series, 2018 DOI:10.1088/1742-6596/1132/1/012018

[10]	Derivation of three-derivative Runge-Kutta methods Numerical Algorithms, 2017 DOI:10.1007/s11075-016-0147-2

[11]	Trio-Geometric mean-based three-stage Runge–Kutta algorithm to solve initial value problem arising in autonomous systems International Journal of Modeling, Simulation, and Scientific Computing, 2017 DOI:10.1142/S1793962318500265

[12]	Exponentially-Fitted 2-Step Simpson’s Method for Oscillatory/Periodic Problems Journal of Applied Mathematics and Physics, 2016 DOI:10.4236/jamp.2016.42043

[13]	On the Derivation and Implementation of a Four Stage Harmonic Explicit Runge-Kutta Method* Applied Mathematics, 2015 DOI:10.4236/am.2015.64064

[14]	Compact Extrapolation Schemes for a Linear Schrödinger Equation American Journal of Computational Mathematics, 2014 DOI:10.4236/ajcm.2014.43017

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