**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30835

##### Septic B-spline Collocation Method for Solving One-dimensional Hyperbolic Telegraph Equation

**Authors:**
Alireza Nazemi,
Marzieh Dosti

**Abstract:**

Recently, it is found that telegraph equation is more suitable than ordinary diffusion equation in modelling reaction diffusion for such branches of sciences. In this paper, a numerical solution for the one-dimensional hyperbolic telegraph equation by using the collocation method using the septic splines is proposed. The scheme works in a similar fashion as finite difference methods. Test problems are used to validate our scheme by calculate L2-norm and L∞-norm. The accuracy of the presented method is demonstrated by two test problems. The numerical results are found to be in good agreement with the exact solutions.

**Keywords:**
collocation method,
B-spline,
second-order hyperbolic telegraph equation,
difference schemes

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1331893

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