One-dimensional second-order hyperbolic telegraph equation was formulated using Ohm’s law and solved by a recent and reliable semianalytic method, namely, the reduced differential transform method (RDTM). Using this method, it is possible to find the exact solution or a closed approximate solution of a differential equation. Three numerical examples have been carried out in order to check the effectiveness, the accuracy, and convergence of the method. The RDTM is a powerful mathematical technique for solving wide range of problems arising in science and engineering fields.

In this article, an analytical solution procedure is described for solving two and three dimensional second order hyperbolic telegraph equation using a reliable semi-analytic method so called the reduced differential transform method (RDTM) subject to the appropriate initial condition. Using this method, it is possible to find an exact solution or a closed approximate solution of a differential equation. Various numerical examples are carried out to check the accuracy, efficiency, and convergence of the described method. The method is a powerful mathematical tool for solving a wide range of problems arising in engineering and sciences

A stupendous growth in the area of Information technology is the spread of wireless wide band applications. The versatility of Microstrip patch antennas added new dimension to it. It's light weight and suitability for integration with microwave integrated circuits along with the simplicity of the structures marks it well suitable for low-cost manufacturing. All these accounts for the wide spread use of microstrip patch antennas in various wireless communication applications. In this paper a wide band rectangular shaped single-patch microstrip patch antenna with circular slot is proposed. Circular shaped slot over the rectangular patch is combined together to expand the bandwidth of the antenna. A compact size of 19 mm by 23 mm with duroid material is chosen for design. Optimization using HFSS simulation software is applied to optimize the structure of the antenna. The effect of circular slot is compared without the slot structure. It is observed that the bandwidth expands up to 0.7 GHz with a uniform radiation pattern.