Solving delay differential equations by an accurate method with interpolation
We use the reproducing kernel method (RKM) with interpolation for finding approximate solutions of delay differential equations. Interpolation for delay differential equations has not been used by this method till now. The numerical approximation to the exact solution is computed. The comparison of...
| Main Authors: | Akgul, Ali, Kilicman, Adem |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2015
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/46338/ http://psasir.upm.edu.my/id/eprint/46338/1/Solving%20delay%20differential%20equations%20by%20an%20accurate%20method%20with%20interpolation.pdf |
Similar Items
Efficient interpolators in implicit block method for solving delay differential equations
by: Ishak, Fuziyah, et al.
Published: (2013)
by: Ishak, Fuziyah, et al.
Published: (2013)
Comparison of interpolations used in solving delay differential equations by runge-kutta method
by: Ismail, Fudziah, et al.
Published: (2003)
by: Ismail, Fudziah, et al.
Published: (2003)
Solving delay differential equations by Runge-Kutta method using different types of interpolation
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001)
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001)
Solving delay differential equations by Adams Moulton block method using divided difference interpolation
by: Abdul Majid, Zanariah, et al.
Published: (2019)
by: Abdul Majid, Zanariah, et al.
Published: (2019)
Solving delay differential equations by the five-point one-step block method using Neville's interpolation
by: Abdul Majid, Zanariah, et al.
Published: (2013)
by: Abdul Majid, Zanariah, et al.
Published: (2013)
Block method with Hermite interpolation for numerical solution of delay differential equations
by: Ishak, Fuziyah, et al.
Published: (2012)
by: Ishak, Fuziyah, et al.
Published: (2012)
A novel method for solving KdV equation based on reproducing kernel hilbert space method
by: Inc, Mustafa, et al.
Published: (2013)
by: Inc, Mustafa, et al.
Published: (2013)
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)
Parallel block method for solving delay differential equations.
by: Ishak, Fuziyah, et al.
Published: (2010)
by: Ishak, Fuziyah, et al.
Published: (2010)
Runge-Kutta Methods for Solving Ordinary and Delay Differential Equations
by: Alkhasawneh, Rae’d Ali Ahmed
Published: (2006)
by: Alkhasawneh, Rae’d Ali Ahmed
Published: (2006)
Coupled block method for solving ordinary and delay differential equations
by: Hue, Chi San
Published: (2011)
by: Hue, Chi San
Published: (2011)
Multistep block method for solving vanishing delay differential equations
by: Abdul Majid, Zanariah, et al.
Published: (2014)
by: Abdul Majid, Zanariah, et al.
Published: (2014)
Direct method for solving second order delay differential equations
by: Hoo, Yann Seong, et al.
Published: (2012)
by: Hoo, Yann Seong, et al.
Published: (2012)
Block hybrid-like method for solving delay differential equations
by: Yap, Lee Ken, et al.
Published: (2014)
by: Yap, Lee Ken, et al.
Published: (2014)
Solving delay differential equations using coupled block method
by: Hue, Chi San, et al.
Published: (2011)
by: Hue, Chi San, et al.
Published: (2011)
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)
Numerical study for periodical delay differential equations using Runge-Kutta with trigonometric interpolation
by: Senu, Norazak, et al.
Published: (2022)
by: Senu, Norazak, et al.
Published: (2022)
Different types of interpolations for solving delay differential equations using explicit Runge-Kutta method / Fudziah Ismail, Aung San Lwin and Mohamed Suleiman
by: Ismail, Fudziah, et al.
Published: (2005)
by: Ismail, Fudziah, et al.
Published: (2005)
Hybrid multistep block method for solving neutral delay differential equations
by: Nur Inshirah Naqiah Ismail,, et al.
Published: (2020)
by: Nur Inshirah Naqiah Ismail,, et al.
Published: (2020)
Numerical solution and stability of multistep method for solving delay differential equations.
by: Suleiman, Mohamed B., et al.
Published: (2010)
by: Suleiman, Mohamed B., et al.
Published: (2010)
Solving Delay Differential Equations Using Explicit Runge-Kutta Method
by: Aung, San Lwin
Published: (2004)
by: Aung, San Lwin
Published: (2004)
One-step block methods for solving ordinary and delay differential equations
by: Mohd Radzi, Hazwani
Published: (2011)
by: Mohd Radzi, Hazwani
Published: (2011)
Multistep block methods for solving higher order delay differential equations
by: Hoo, Yann Seong
Published: (2016)
by: Hoo, Yann Seong
Published: (2016)
Direct block method for solving delay differential equations with initial conditions
by: Jaaffar, Nur Tasnem, et al.
Published: (2023)
by: Jaaffar, Nur Tasnem, et al.
Published: (2023)
Block methods based on Newton interpolation for solving special second order ordinary differential equations directly
by: Yap, Yee Ken, et al.
Published: (2008)
by: Yap, Yee Ken, et al.
Published: (2008)
Numerical solution of delay differential equation using two-derivative Runge-Kutta type method with Newton interpolation
by: Senu, N., et al.
Published: (2022)
by: Senu, N., et al.
Published: (2022)
Adam’s type block methods for solving neutral delay differential equation with constant and panthograph delay
by: Ismail, Nur Inshirah Naqiah
Published: (2019)
by: Ismail, Nur Inshirah Naqiah
Published: (2019)
Convergence of variational iteration method for solving singular partial differential equations of fractional order
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
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)
Two point predictor corrector block method for solving delay differential equations
by: Ishak, Fuziyah, et al.
Published: (2008)
by: Ishak, Fuziyah, et al.
Published: (2008)
Parallel method using MPI for solving large systems of delay differential equations
by: Ishak, Fuziyah, et al.
Published: (2012)
by: Ishak, Fuziyah, et al.
Published: (2012)
Solving second-order delay differential equations by direct Adams-Moulton method
by: Hoo, Yann Seong, et al.
Published: (2013)
by: Hoo, Yann Seong, et al.
Published: (2013)
Solving delay differential equations of pantograph type using predictor-corrector method
by: Hoo, Yann Seong, et al.
Published: (2014)
by: Hoo, Yann Seong, et al.
Published: (2014)
Solving delay differential equations using modified 2-point block method
by: Abdul Aziz, Nurul Huda, et al.
Published: (2012)
by: Abdul Aziz, Nurul Huda, et al.
Published: (2012)
Solving delay differential equations using intervalwise partitioning by Runge–Kutta method
by: Ismail, Fudziah, et al.
Published: (2001)
by: Ismail, Fudziah, et al.
Published: (2001)
Solving delay differential equations using Componentwise Partitioning by Runge–Kutta Method
by: Suleiman, Mohamed, et al.
Published: (2001)
by: Suleiman, Mohamed, et al.
Published: (2001)
Diagonally multistep block method for solving Volterra integro-differential equation with delay
by: Baharum, Nur Auni, et al.
Published: (2023)
by: Baharum, Nur Auni, et al.
Published: (2023)
Numerical solution of singularly perturbed delay differential equations with layer behavior
by: Ghomanjani, Fateme, et al.
Published: (2014)
by: Ghomanjani, Fateme, et al.
Published: (2014)
Solving the singularly perturbation problems of delay differential equations numerically
by: Jaaffar, Nur Tasnem, et al.
Published: (2021)
by: Jaaffar, Nur Tasnem, et al.
Published: (2021)
Solving delay differential equations using embedded singly diagonally implicit Runge-Kutta methods
by: Ismail, Fudziah, et al.
Published: (2008)
by: Ismail, Fudziah, et al.
Published: (2008)
Similar Items
-
Efficient interpolators in implicit block method for solving delay differential equations
by: Ishak, Fuziyah, et al.
Published: (2013) -
Comparison of interpolations used in solving delay differential equations by runge-kutta method
by: Ismail, Fudziah, et al.
Published: (2003) -
Solving delay differential equations by Runge-Kutta method using different types of interpolation
by: Alkhasawneh, Rae'd Ali Ahmed
Published: (2001) -
Solving delay differential equations by Adams Moulton block method using divided difference interpolation
by: Abdul Majid, Zanariah, et al.
Published: (2019) -
Solving delay differential equations by the five-point one-step block method using Neville's interpolation
by: Abdul Majid, Zanariah, et al.
Published: (2013)