Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method

In this research, we proposed the generalization of differential transformation method for solving higher-order boundary value problems of higher-order linear and non-linear differential equations. In particular, we extended the existing method to solve th-order boundary value problems of th-order l...

Full description

Bibliographic Details
Main Author:	Che Hussin, Che Haziqah
Format:	Thesis
Language:	English
Published:	2011
Subjects:	Differential equations, Linear - Numerical solutions Differential equations, Nonlinear - Numerical solutions Decomposition method
Online Access:	http://psasir.upm.edu.my/id/eprint/26979/1/FS%202011%2089R.pdf

Similar Items

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

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

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

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

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

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

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

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

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

Block backward differentiation methods for single delay differential equations
by: Heng, Siaw Ching
Published: (2012)

Block hybrid methods for numerical treatment of differential equations with applications
by: Yap, Lee Ken
Published: (2016)

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

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

Solving matrix differential and integro-differential equations using differential transformation method and convolutions
by: Altun, Omer
Published: (2016)

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

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

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

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

Numerical solutions of linear fredholm integro-differential equations of the second kind using quadrature-difference methods
by: Jalius, Chriscella
Published: (2016)

Numerical solution of special second order initial value problems by hybrid type methods
by: Dauda Yusuf Jikantoro,
Published: (2014)

Coupled block method for solving ordinary and delay differential equations
by: Hue, Chi San
Published: (2011)

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

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

Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
by: Ismail, Nur Inshirah Naqiah
Published: (2019)

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

Block one-step methods for solving stiff differential equations
by: Mohd Zabidi, Muhammad Izzat Zakwan
Published: (2014)

Direct one-step block methods for solving special second order delay differential equations
by: Rasdi, Nadzirah
Published: (2013)

Family of singly diagonally implicit block backward differentiation formulas for solving stiff ordinary differential equations
by: Saufianim, Jana Aksah
Published: (2021)

Diagonally implicit two point block backward differentiation formulas for solving stiff ordinary differential equations and fuzzy differential equations
by: Mohd Zawawi, Iskandar Shah
Published: (2014)

Diagonally implicit block backward differentiation formula with off step points for solving stiff ordinary differential equations
by: Abd Rasid, Norshakila
Published: (2021)

Runge-Kutta type methods for solving third-order ordinary differential equations and first-order oscillatory problems
by: Alshareeda, Firas Adel Fawzi
Published: (2017)

Three-point diagonally implicit block methods for solving ordinary and fuzzy differential equations
by: Ismail, Nurzeehan
Published: (2014)

Numerical methods for solving oscillatory and fuzzy differential equations
by: Dizicheh, Ali Karimi
Published: (2014)

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

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

Direct Block Methods for Solving Special Second Order Ordinary Differential Equations and Their Parallel Implementations
by: Yap, Lee Ken
Published: (2008)

Numerical solutions of stiff ordinary differential equations and differential algebraic equations using one-step implicit hybrid methods
by: Khoo, Kai Wen
Published: (2015)

New classes of block backward differentiation formula for solving stiff initial value problems
by: Musa, Hamisu
Published: (2013)

Feedforward neural network for solving particular fractional differential equations
by: Admon, Mohd Rashid
Published: (2024)

Solving Boundary Value Problems for Ordinary Differential Equations Using Direct Integration and Shooting Techniques
by: V., Malathi
Published: (1999)