# Fourth Order Compact Method for One Dimensional Inhomogeneous Telegraph Equation of O (h4, k3)

## 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

S. Abbasi, L. Aslam, 2011, “The cycle discrepancy of three-regular graphs”,Graphs and Combinatorics, Vol. 27, pp. 27–46.

J. Beck, W. L. Chen, 1987, “Irregularities of distribution,” Cambridge University press, New York.

J. Beck, W. Fiala, 1981, “Integer making theorems”, Discrete Applied Mathematics, Vol. 3, pp. 1-8.

B. Bollobás, 1988, “Modern graph theory”, Springer-Verlag.

B. Chazelle, 2000, “The discrepancy method: randomness and complexity”, Cambridge University press, New York.

G. A. Dirac, 1952, “Some theorems on abstract graphs”, proc. London math. soc., Vol. s3-2, pp. 69-81.

J. Matousek, 1999, “Geometric discrepancy: an illustrated guide. Algorithms and combinatorics”, Springer, Berlin.

J. Spencer, 1985, “Six standard deviations suffice”, Transactions of the American mathematical society, Vol. 289, pp. 679-706.