A fourth-order compact finite difference scheme for the Goursat problem
A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approxi...
| Main Authors: | Mohd Agos Salim Nasir, Ahmad Izani Md Ismail |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universiti Kebangsaan Malaysia
2013
|
| Online Access: | http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf |
Similar Items
Exploring sixth-order compact finite difference schemes for hyperbolic pde: a case study on the nonlinear goursat problem
by: Ros Fadilah Deraman,, et al.
Published: (2025)
by: Ros Fadilah Deraman,, et al.
Published: (2025)
A new finite difference scheme based on centroidal mean averaging for the goursat problem / Mohd Agos Salim Nasir and Ahmad Izani Md Ismail
by: Nasir, Mohd Agos Salim, et al.
Published: (2005)
by: Nasir, Mohd Agos Salim, et al.
Published: (2005)
Numerical Solution Of The Goursat Problem.
by: Md. Ismail, Ahmad Izani, et al.
Published: (2004)
by: Md. Ismail, Ahmad Izani, et al.
Published: (2004)
Numerical Solution Of The Goursat Problem.
by: Md Ismail, Ahmad Izani, et al.
Published: (2004)
by: Md Ismail, Ahmad Izani, et al.
Published: (2004)
Numerical Solution Of A Linear Goursat Problem Stability,Consistency And Convergence .
by: Md. Ismail, Ahmad Izani, et al.
Published: (2004)
by: Md. Ismail, Ahmad Izani, et al.
Published: (2004)
Skema Berangka Untuk Masalah
Goursat
by: Nasir, Mohd Agos Salim
Published: (2010)
by: Nasir, Mohd Agos Salim
Published: (2010)
Higher-order compact finite difference schemes.
by: Yap, Wen Jiun, et al.
Published: (2011)
by: Yap, Wen Jiun, et al.
Published: (2011)
Solution of Navier-Stokes equations by fourth-order compact schemes and AUSM flux splitting
by: Mawlood, M.K., et al.
Published: (2006)
by: Mawlood, M.K., et al.
Published: (2006)
A new modified compact finite difference scheme for solving the generalized Burgers-Huxley equation in teaching and learning processes
by: Rabi’atul ‘Aisyah Rusli,, et al.
Published: (2025)
by: Rabi’atul ‘Aisyah Rusli,, et al.
Published: (2025)
Application Of Higher Order Compact Finite Difference Methods To Problems In Fluid Dynamics
by: Yap, Wen Jiun
Published: (2003)
by: Yap, Wen Jiun
Published: (2003)
On the Cauchy-Goursat theorem
by: Azram, Mohammad, et al.
Published: (2010)
by: Azram, Mohammad, et al.
Published: (2010)
A new scheme for solving goursat problem using newton-cotes integration formula / Ros Fadilah Deraman
by: Deraman, Ros Fadilah
Published: (2014)
by: Deraman, Ros Fadilah
Published: (2014)
Cauchy-Goursat theorem (variational approach)
by: Azram, Mohammad, et al.
Published: (2010)
by: Azram, Mohammad, et al.
Published: (2010)
Solving third order boundary value problem using fourth order block method
by: Abdullah, Ahmad Shah, et al.
Published: (2013)
by: Abdullah, Ahmad Shah, et al.
Published: (2013)
Optimized fourth-order Runge-Kutta method for solving oscillatory problems
by: Hussain, Kasim Abbas, et al.
Published: (2016)
by: Hussain, Kasim Abbas, et al.
Published: (2016)
A comparative study fourth order runge kutta-tvd Scheme and fluent software case of inlet flow problems
by: Altaher Mohamed, Mohamed Abdalwahab
Published: (2011)
by: Altaher Mohamed, Mohamed Abdalwahab
Published: (2011)
Eigenvalues of fourth-order singular Sturm–Liouville boundary value problems
by: Zhang, Xinguang, et al.
Published: (2008)
by: Zhang, Xinguang, et al.
Published: (2008)
Eigenvalue of fourth-order m-point boundary value problem with derivatives
by: Zhang, Xinguang, et al.
Published: (2008)
by: Zhang, Xinguang, et al.
Published: (2008)
A fourth order phase-fitted Runge-Kutta-Nyström method for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2012)
by: Moo, Kwong Wing, et al.
Published: (2012)
Positive solutions of fourth-order nonlinear singular Sturm-Liouville eigenvalue problems
by: Liu, L., et al.
Published: (2007)
by: Liu, L., et al.
Published: (2007)
Multi-scale control scheme: Stabilization of a class of fourth-order integrating-unstable systems
by: Seer, Q., et al.
Published: (2018)
by: Seer, Q., et al.
Published: (2018)
New phase-fitted and amplification-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for oscillatory problems
by: Moo, Kwong Wing, et al.
Published: (2013)
by: Moo, Kwong Wing, et al.
Published: (2013)
A High- order Compact Finite Difference Solver for the Two-Dimensional Euler And Navier-Stroker Equations
by: Mawlodd, Mahmood Khalid
Published: (2004)
by: Mawlodd, Mahmood Khalid
Published: (2004)
An A Posteriori Error Indicator for Discontinuous Galerkin Approximations of Fourth Order Elliptic Problems
by: Georgoulis, Emmanuil H., et al.
Published: (2008)
by: Georgoulis, Emmanuil H., et al.
Published: (2008)
Fourth order solutions of singularly perturbed boundary value problems by quarter-sweep iteration
by: Sulaiman, Jumat, et al.
Published: (2012)
by: Sulaiman, Jumat, et al.
Published: (2012)
New explicit trigonometrically-fitted fourth-order and fifth-order Runge-Kutta-Nyström methods for periodic initial value problems
by: Demba, Musa Ahmed, et al.
Published: (2016)
by: Demba, Musa Ahmed, et al.
Published: (2016)
An AUSM-based third-order compact scheme for solving Euler equations
by: Mohamad, Mahmod Abd Hakim, et al.
Published: (2006)
by: Mohamad, Mahmod Abd Hakim, et al.
Published: (2006)
Implicit two-point block method for solving fourth order initial value problem directly with application
by: Allogmany, Reem Ayed, et al.
Published: (2020)
by: Allogmany, Reem Ayed, et al.
Published: (2020)
Fourth-order solutions of nonlinear two-point boundary value problems by Newton-HSSOR iteration
by: Sulaiman, Jumat, et al.
Published: (2013)
by: Sulaiman, Jumat, et al.
Published: (2013)
Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
by: Liu, L., et al.
Published: (2008)
by: Liu, L., et al.
Published: (2008)
A finite-difference scheme for mixed boundary value problems of arbitrary-shaped elastic bodies
by: Akanda, M. Abdus Salam, et al.
Published: (2000)
by: Akanda, M. Abdus Salam, et al.
Published: (2000)
On cyclic reduction and finite difference schemes
by: Zhang, Jun, et al.
Published: (2002)
by: Zhang, Jun, et al.
Published: (2002)
Fourth-Order Spline Methods For
Solving Nonlinear Schrödinger
Equation
by: Ahmad, Azhar
Published: (2021)
by: Ahmad, Azhar
Published: (2021)
Four Point High Order
Compact Iterative Schemes For The
Solution Of The Helmholtz Equation
by: Teng, Wai Ping
Published: (2015)
by: Teng, Wai Ping
Published: (2015)
Bezier curves method for fourth-order integrodifferential equations
by: Ghomanjani, Fateme, et al.
Published: (2013)
by: Ghomanjani, Fateme, et al.
Published: (2013)
Fourth Order Torque Prediction Model in End Milling
by: K., Kadirgama, et al.
Published: (2009)
by: K., Kadirgama, et al.
Published: (2009)
Fourth-order explicit hybrid method for solving special second-order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2012)
by: Samat, Faieza, et al.
Published: (2012)
Two-level compact implicit schemes for three-dimensional parabolic problems.
by: Karaa, Samir, et al.
Published: (2009)
by: Karaa, Samir, et al.
Published: (2009)
Block hybrid collocation method with application to fourth order differential equations
by: Yap, Lee Ken, et al.
Published: (2015)
by: Yap, Lee Ken, et al.
Published: (2015)
A phase-fitted and amplification-fitted modified Runge-Kutta method of fourth order for periodic initial value problems
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2015)
by: Alshareeda, Firas Adel Fawzi, et al.
Published: (2015)
Similar Items
-
Exploring sixth-order compact finite difference schemes for hyperbolic pde: a case study on the nonlinear goursat problem
by: Ros Fadilah Deraman,, et al.
Published: (2025) -
A new finite difference scheme based on centroidal mean averaging for the goursat problem / Mohd Agos Salim Nasir and Ahmad Izani Md Ismail
by: Nasir, Mohd Agos Salim, et al.
Published: (2005) -
Numerical Solution Of The Goursat Problem.
by: Md. Ismail, Ahmad Izani, et al.
Published: (2004) -
Numerical Solution Of The Goursat Problem.
by: Md Ismail, Ahmad Izani, et al.
Published: (2004) -
Numerical Solution Of A Linear Goursat Problem Stability,Consistency And Convergence .
by: Md. Ismail, Ahmad Izani, et al.
Published: (2004)