Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of 0 (h4 ,k4)
Abstract
Many boundary value problems that arise in real life situation defy analytical solutions; hence numerical techniques are the best source for finding the solution of such equations. In this study Finite difference Method (FDM) and Fourth Order Compact Method (FOCM) are presented for the solutions of well known one dimensional Inhomogeneous Telegraph equation and then its validity and applicability is checked through applications. The results obtained are compared with the exact solutions for these applications. We used Fortran 90 for the calculations of the numerical results and Mat lab for the graphical comparison.References
Chaudhry. A. Z., Nasim N. H., Shakoor. A., Alternative Report to Subsidiary Weir, Rehabilitation and Modernization of Jinnah Barrage Project, Submitted to Irrigation & Power Department, Government of Punjab, April 2008.
Chaudhry. A. Z., Energy Dissipation Problems Downstream of the Jinnah Barrage. Pakistan Journal of Engineering and Applied Sciences, 2008 Vol.3, p.19- 25.
Sectional Model of Taunsa Barrage, Irrigation & Power Department, Government of the Punjab, IRR- 1172, June 2005.
Mahboob. S.I., The Kalabagh Barrage, Punjab Engineering Congress, Paper No. 251, 1942, p66.
Mahboob. S.I, Design and Construction of Kalabagh Barrage, Punjab Engineering Congress, Paper No. 34, 1943.
Appraisal Report on Safety on Jinnah Barrage, Submitted by National Development Consultants (NDC) to Irrigation & Power Department, Government of Punjab, July 2001.
Evaluation of Safety of Jinnah Headworks, Report Submitted by Associated Consulting Engineers ACE (Pvt.) Ltd to Irrigation & Power Department, Government of Punjab, June 1998.
Feasibility Report, Jinnah Barrage, Submitted by Joint Venture of Associated Consulting Engineers (ACE) to Irrigation and Power Department, May 2005.
