Comparing linear and nonlinear differential equations of differential transformation method by other numerical methods
In this study, we solve fifth-order boundary value problems by using the DTM for linear and nonlinear differential equations and compare the results with other methods such as Adomian Decomposition Method (ADM), Noor Decomposition Method and Variational Iteration Method. We provide several numerical...
| Main Authors: | Che Hussin, Che Haziqah, Kilicman, Adem, Mandangan, Arif |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57569/ http://psasir.upm.edu.my/id/eprint/57569/1/Comparing%20linear%20and%20nonlinear%20differential%20equations%20of%20differential%20transformation%20method%20by%20other%20numerical%20methods.pdf |
Similar Items
Differential transformation method for solving sixth-order boundary value problems of ordinary differential equations
by: Che Hussin, Che Haziqah, et al.
Published: (2016)
by: Che Hussin, Che Haziqah, et al.
Published: (2016)
Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2018)
by: Che Hussin, Che Haziqah, et al.
Published: (2018)
Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
by: Che Hussin, Che Haziqah
Published: (2011)
by: Che Hussin, Che Haziqah
Published: (2011)
On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
by: Kilicman, Adem, et al.
Published: (2011)
by: Kilicman, Adem, et al.
Published: (2011)
On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.
by: Kilicman, Adem, et al.
Published: (2011)
by: Kilicman, Adem, et al.
Published: (2011)
Application of differential transform method on nonlinear integro-differential equations with proportional delay
by: Abazari, Reza, et al.
Published: (2014)
by: Abazari, Reza, et al.
Published: (2014)
Multi-Step Modified Differential Transform Methods For Hyperbolic Partial Differential Equations
by: Che Hussin, Che Haziqah
Published: (2020)
by: Che Hussin, Che Haziqah
Published: (2020)
Analytical solutions of non-linear Klein-Gordon equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2019)
by: Che Hussin, Che Haziqah, et al.
Published: (2019)
Approximate analytical solutions of nonlinear Korteweg-de vries equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2020)
by: Che Hussin, Che Haziqah, et al.
Published: (2020)
Transformation methods in the study of nonlinear partial differential equations
by: Sophocleous, Christodoulos
Published: (1991)
by: Sophocleous, Christodoulos
Published: (1991)
Numerical solution of nonlinear fredholm integro-differential equations using spectral homotopy analysis method
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)
by: Atabakan, Z. Pashazadeh, et al.
Published: (2013)
Homotopy-perturbation method for solving linear and nonlinear differential equation
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)
by: Chowdhury, Md. Sazzad Hossien
Published: (2015)
Assessment of decomposition method for linear and nonlinear
fractional differential equations
by: Abdulaziz, O., et al.
Published: (2007)
by: Abdulaziz, O., et al.
Published: (2007)
Spectral homotopy analysis method for solving nonlinear Volterra integro differential equations
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)
by: Atabakan, Zohreh Pashazadeh, et al.
Published: (2014)
Integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2009)
by: Kilicman, Adem, et al.
Published: (2009)
Numerical methods for fractional order singular partial differential equations with variable coefficients
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
A note on the Sumudu transforms and differential equations
by: Eltayeb, Hassan, et al.
Published: (2010)
by: Eltayeb, Hassan, et al.
Published: (2010)
On a new integral transform and differential equations.
by: Kilicman, Adem, et al.
Published: (2010)
by: Kilicman, Adem, et al.
Published: (2010)
Numerical solutions of nonlinear fractional partial differential equations arising in spatial diffusion of biological populations
by: Singh, Jagdev, et al.
Published: (2014)
by: Singh, Jagdev, et al.
Published: (2014)
On Sumudu transform and system of differential equations
by: Kilicman, Adem, et al.
Published: (2010)
by: Kilicman, Adem, et al.
Published: (2010)
Solving delay differential equations by an accurate method with interpolation
by: Akgul, Ali, et al.
Published: (2015)
by: Akgul, Ali, et al.
Published: (2015)
Combination of integral and projected differential transform methods for time-fractional gas dynamics equations
by: Kilicman, Adem, et al.
Published: (2018)
by: Kilicman, Adem, et al.
Published: (2018)
Numerical solutions of fractional differential equations by using fractional explicit Adams method
by: Zabidi, Nur Amirah, et al.
Published: (2020)
by: Zabidi, Nur Amirah, et al.
Published: (2020)
Solitary wave solutions with compact support for the nonlinear dispersive K (m,n) equations by using approximate analytical method
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
by: Che Hussin, Che Haziqah, et al.
Published: (2021)
A note on integral transform and system of differential equations
by: Eltayeb, Hassan, et al.
Published: (2009)
by: Eltayeb, Hassan, et al.
Published: (2009)
On the partial differential equations with non-constant coefficients and convolution method.
by: Kilicman, Adem, et al.
Published: (2010)
by: Kilicman, Adem, et al.
Published: (2010)
A note on integral transforms and differential equations
by: Kilicman, Adem, et al.
Published: (2012)
by: Kilicman, Adem, et al.
Published: (2012)
A note on integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2010)
by: Kilicman, Adem, et al.
Published: (2010)
Exploring efficient: numerical methods for differential equations
by: Ismail, Fudziah
Published: (2016)
by: Ismail, Fudziah
Published: (2016)
MSG489 - Numerical Methods For Differential Equations
by: PPSM, Pusat Pengajian Sains Matematik
Published: (2022)
by: PPSM, Pusat Pengajian Sains Matematik
Published: (2022)
MSG489 - Numerical Methods For Differential Equations
by: PPSM, Pusat Pengajian Sains Matematik
Published: (2024)
by: PPSM, Pusat Pengajian Sains Matematik
Published: (2024)
Some remarks on the Sumudu and Laplace transforms and applications to differential equations
by: Kilicman, Adem, et al.
Published: (2012)
by: Kilicman, Adem, et al.
Published: (2012)
Note on partial differential equations with non-constant coefficients and convolution method
by: Kilicman, Adem, et al.
Published: (2012)
by: Kilicman, Adem, et al.
Published: (2012)
Solving matrix differential and integro-differential equations using differential transformation method and convolutions
by: Altun, Omer
Published: (2016)
by: Altun, Omer
Published: (2016)
Solving fractional partial differential equations with corrected Fourier series method
by: Zainal, Nor Hafizah, et al.
Published: (2014)
by: Zainal, Nor Hafizah, et al.
Published: (2014)
Diagonally Implicit Runge-Kutta Methods For Solving Linear Ordinary Differential Equations
by: Che Jawias, Nur Izzati
Published: (2009)
by: Che Jawias, Nur Izzati
Published: (2009)
Block method for numerical solution of fuzzy differential equations
by: Mehrkanoon, Siamak, et al.
Published: (2009)
by: Mehrkanoon, Siamak, et al.
Published: (2009)
Numerical methods for solving oscillatory and fuzzy differential equations
by: Dizicheh, Ali Karimi
Published: (2014)
by: Dizicheh, Ali Karimi
Published: (2014)
Numerical methods for partial differential equations of hyperbolic type
by: Aloev, R. D., et al.
Published: (2019)
by: Aloev, R. D., et al.
Published: (2019)
Application of homotopy perturbation method for fractional partial differential equations
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
Similar Items
-
Differential transformation method for solving sixth-order boundary value problems of ordinary differential equations
by: Che Hussin, Che Haziqah, et al.
Published: (2016) -
Analytical solutions of nonlinear Schrodinger equations using multistep modified reduced differential transform method
by: Che Hussin, Che Haziqah, et al.
Published: (2018) -
Numerical solutions of linear and nonlinear higher-order boundary value problems by differential transformation method and Adomian decomposition method
by: Che Hussin, Che Haziqah
Published: (2011) -
On the solution of fractional order nonlinear boundary value problems by using differential transformation method.
by: Kilicman, Adem, et al.
Published: (2011) -
On the solutions of nonlinear higher-order boundary value problems by using differential transformation method and adomian decomposition method.
by: Kilicman, Adem, et al.
Published: (2011)