Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems

In this study, new Runge-Kutta type methods (RKTG) are derived for directly solving third-order ordinary differential equations ODEs of the formy′′′=f(x,y,y′). The derivation of third-, fourth- and fifth-order explicit RKTG methods using constant step length and an embedded explicit RKTG denoted by...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखक:	Alshareeda, Firas Adel Fawzi
स्वरूप:	थीसिस
भाषा:	अंग्रेज़ी
प्रकाशित:	2017
विषय:	Runge-Kutta formulas Differential equations - Numerical solutions
ऑनलाइन पहुंच:	http://psasir.upm.edu.my/id/eprint/70876/1/FS%202017%2030%20IR.pdf

समान संसाधन

Runge-kutta type methods for solving special third and fourth order ordinary differential equations
द्वारा: Hussain, Kasim Abbas
प्रकाशित: (2017)

Numerical solutions of single delay differential equations and special second order oscillatory initial value problems using Runge-Kutta and hybrid methods
द्वारा: Ahmad, Sufia Zulfa
प्रकाशित: (2013)

Diagonally implicit two and three derivative Runge-Kutta methods for solving first order oscillatory ordinary and delay differential equations
द्वारा: Ahmad, Nur Amirah
प्रकाशित: (2020)

Runge-kutta type methods for solving high-order ordinary differential equations
द्वारा: Ghawadri, Nizam Ghannam Fayez
प्रकाशित: (2018)

Block Diagonally Implicit Runge-Kutta Method for Solving Ordinary Differential Equations
द्वारा: Rahim, Yong Faezah
प्रकाशित: (2004)

Parallel Diagonally Implicit Runge-Kutta Methods For Solving Ordinary Differential Equations
द्वारा: Din, Ummul Khair Salma
प्रकाशित: (2009)

Explicit two-derivative Runge-Kutta type methods for solving third-order ordinary and retarded delay differential equations
द्वारा: Lee, Khai Chien
प्रकाशित: (2022)

Explicit Runge-Kutta-Nyström methods with high order dispersion and dissipation for solving oscillatory second order ordinary differential equation
द्वारा: Mohamad, Munirah
प्रकाशित: (2013)

Numerical Solution of Ordinary and Delay Differential Equations by Runge-Kutta Type Methods
द्वारा: Ismail, Fudziah
प्रकाशित: (1999)

Improved Runge-Kutta type methods for solving ordinary and fuzzy differential equations
द्वारा: Rabiei, Faranak
प्रकाशित: (2012)

Solving Delay Differential Equations Using Explicit Runge-Kutta Method
द्वारा: Aung, San Lwin
प्रकाशित: (2004)

Runge-Kutta type direct methods for solving second and third order boundary value problems
द्वारा: Jasim Al-Ithawi, Athraa Abdulsalam
प्रकाशित: (2019)

Runge-Kutta Methods for Solving Ordinary and Delay Differential Equations
द्वारा: Alkhasawneh, Rae’d Ali Ahmed
प्रकाशित: (2006)

Solving delay differential equations by Runge-Kutta method using different types of interpolation
द्वारा: Alkhasawneh, Rae'd Ali Ahmed
प्रकाशित: (2001)

Parallel Execution of Runge-Kutta Methods for Solving Ordinary Differential Equations
द्वारा: Siri, Zailan
प्रकाशित: (2004)

Trigonometrically-fitted explicit Runge-Kutta-Nystrom methods for solving special second order ordinary differential equations with periodic solutions
द्वारा: Demba, Musa Ahmed
प्रकाशित: (2016)

Two derivative and three derivative Runge-Kutta- Nyström methods for second-order ordinary differential equations
द्वारा: Salama, Tahani Mohamed
प्रकाशित: (2019)

Runge-Kutta-Nystrom Methods For Solving Oscillatory Problems
द्वारा: Senu, Norazak
प्रकाशित: (2010)

Solving directly special third and fourth order ordinary differential equations using linear multistep and explicit Obrechkoff methods
द्वारा: Rajabi, Marzieh
प्रकाशित: (2018)

Phase-fitted and amplification-fitted Runge-Kutta type methods for solving linear differential equations with oscillatory solutions
द्वारा: Salih, Mohammed Mahmood
प्रकाशित: (2016)

Multiblock Backward Differentiation Formulae for solving first order ordinary differential equations
द्वारा: Mohd Nasir, Nor Ain Azeany
प्रकाशित: (2011)

Second derivative block methods for solving first and higher order ordinary differential equations
द्वारा: Turki, Mohammed Yousif
प्रकाशित: (2018)

Diagonal R-point variable step variable order block method for solving second order ordinary differential equations
द्वारा: Zainuddin, Nooraini
प्रकाशित: (2016)

Adaptive step size of diagonally implicit block backward differentiation formulas for solving first and second order stiff ordinary differential equations with applications
द्वारा: Mohd Ijam, Hazizah
प्रकाशित: (2020)

Numerical methods for solving first and second order fuzzy differential equations
द्वारा: Afsharinafar, Reza
प्रकाशित: (2014)

Implicit block methods with extra derivatives for solving general higher-order ordinary differential equations with applications
द्वारा: M., Allogmany Reem Ayed
प्रकाशित: (2021)

Two-point block backward differentiation formula for solving higher order ordinary differential equations
द्वारा: Zainuddin, Nooraini
प्रकाशित: (2011)

Hybrid methods for solving higher order ordinary differential equations
द्वारा: Jikantoro, Yusuf Dauda
प्रकाशित: (2018)

Direct two-point block methods for solving nonstiff higher order Ordinary Differential Equations using Backward Difference formulation
द्वारा: Mohd Ijam, Hazizah
प्रकाशित: (2014)

Aligned MHD free convection flow of magnetic nanofluid over a moving vertical plate with convective boundary condition / Siti Nur Hidayatul Ashikin Ibrahim
द्वारा: Ibrahim, Siti Nur Hidayatul Ashikin
प्रकाशित: (2020)

Block backward differentiation formulas for solving first and second order fuzzy differential equations
द्वारा: Tiaw, Kah Fook
प्रकाशित: (2016)

Block multistep methods for solving first order retarded and neutral delay differential equations
द्वारा: Abdul Aziz, Nurul Huda
प्रकाशित: (2015)

Two Step Runge-Kutta-Nyström method for solving second order ordinary differential equations
द्वारा: Md Ariffin, Latifah
प्रकाशित: (2016)

Direct one-step block methods for solving general second order non-stiff ordinary differential equations
द्वारा: Mukhtar, Nur Zahidah
प्रकाशित: (2011)

Trigonometrically fitted multistep methods for solving oscillatory problems
द्वारा: Mansor, Aini Fadhlina
प्रकाशित: (2017)

A new scheme for solving goursat problem using newton-cotes integration formula / Ros Fadilah Deraman
द्वारा: Deraman, Ros Fadilah
प्रकाशित: (2014)

Solving third-order boundary value problem by direct methods
द्वारा: Ahmad Zulkifli, Ahmad Shah Abdullah
प्रकाशित: (2014)

Multistep block methods for solving higher order delay differential equations
द्वारा: Hoo, Yann Seong
प्रकाशित: (2016)

One-step block methods for solving ordinary and delay differential equations
द्वारा: Mohd Radzi, Hazwani
प्रकाशित: (2011)

Fifth order 2−point implicit block method with an off-stage function for solving first order stiff initial value problems
द्वारा: Zainal, Siti Zhafirah
प्रकाशित: (2014)