Explicit integrator of Runge-Kutta type for direct solution of u(4) = f(x, u, u', u'') by Ghawadri, Nizam Ghannam Fayez, Senu, Norazak, Alshareeda, Firas Adel Fawzi, Ismail, Fudziah, Ibrahim, Zarina Bibi

“…The primary contribution of this work is to develop direct processes of explicit Runge-Kutta type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the structure u(4)=f(x,u,u′,u′′) and denoted as RKTF method. We presented the associated B-series and quad-colored tree theory with the aim of deriving the prerequisites of the said order. …”
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Explicit Integrator of Runge-Kutta Type for Direct Solution of u(4) = f (x, u, u', u'') by Ghawadri, Nizam, Senu, Norazak, Alshareeda, Firas Adel Fawzi, Ismail, Fudziah, Ibrahim, Zarina Bibi

“…The primary contribution of this work is to develop direct processes of explicit Runge-Kutta type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the structure u(4)=f(x,u,u′,u′′) and denoted as RKTF method. We presented the associated B-series and quad-colored tree theory with the aim of deriving the prerequisites of the said order. …”

Embedded explicit Runge–Kutta type methods for directly solving special third order differential equations y‴=f(x,y) by Senu, Norazak, Mechee, Mohammed Sahib, Ismail, Fudziah, Siri, Zailan

“…In this paper three pairs of embedded Runge–Kutta type methods for directly solving special third order ordinary differential equations (ODEs) of the form y‴=f(x,y)y‴=f(x,y) denoted as RKD methods are presented. …”
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Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type methods for solving y’’’ (x)=f (x,y,y’) by Ghawadri, Nizam Ghannam Fayez, Senu, Norazak, Ismail, Fudziah, Ibrahim, Zarina Bibi

“…Exponentially fitted and trigonometrically fitted explicit modified Runge-Kutta type (MRKT) methods for solving y’’’ (x)=f (x,y,y’) are derived in this paper. These methods are constructed which exactly integrate initial value problems whose solutions are linear combinations of the set functions ewx and e-wx for exponentially fitted sin(wx) and cos (wx) for trigonometrically fitted with w ᗴ r being the principal frequency of the problem and the frequency will be used to raise the accuracy of the methods. …”
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Exponentially-fitted and trigonometrically-fitted two derivative Runge-Kutta-Nystrom methods for solving y''(x) = f(x, y, y' ) by Salama, Tahani Mohamed, Senu, Norazak, Ibrahim, Zarina Bibi, Nik Long, Nik Mohd Asri

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On two derivative Runge-Kutta type methods for solving u''' = f (x, u(x)) with application to thin film flow problem by Lee, Khai Chien, Senu, Norazak, Ahmadian, Ali, Ibrahim, Siti Nur Iqmal

“…A class of explicit Runge–Kutta type methods with the involvement of fourth derivative, denoted as two-derivative Runge–Kutta type (TDRKT) methods, are proposed and investigated for solving a special class of third-order ordinary differential equations in the form u′′′(x)=f(x,u(x)) . In this paper, two stages with algebraic order four and three stages with algebraic order five are presented. …”
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A promising exponentially-fitted two-derivative Runge–Kutta–Nyström method for solving y′′=f(x,y): Application to Verhulst logistic growth model by Lee, K.C., Nazar, R., Senu, N., Ahmadian, A.

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Efficient two-derivative Runge-Kutta-Nyström methods for solving general second-order ordinary differential equations y"(x) = f(x,y,y') by Salama, Tahani Mohamed, Senu, Norazak, Ibrahim, Zarina Bibi, Nik Long, Nik Mohd Asri

“…This paper proposes and investigates a special class of explicit Runge-Kutta-Nyström (RKN) methods for problems in the form y'' (x) = f (x,y, y') including third derivatives and denoted as STDRKN. …”
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PROTOTIP PERLINTASAN KERETA API OTOMATIS MENGGUNAKAN KONSEP KINEMATIKA GERAK BERATURAN by , Prasaja, F.X.T

EVALUASI PENGGUNAAN NEMATODA Steinernema carpocapsea DALAM PENGENDALIAN HAYATI HAMA Spodoptera spp. PADA TANAMAN BAWANG MERAH by , F. X. Wagiman, dkk

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