Application of Fourier-Stieltjes Transform to Partial Differential Equation

Dr. V. D. Sharma, P. D. Dolas

Abstract: Mathematics is everywhere in every phenomenon, technology, observation, experiment etc. All we need to do is to understand the logic hidden behind. In applied mathematics and engineering the Partial Diffrential equations have great importance. Therefore it is very important to know methods to solve such partial differential equations. The Partial differential equations can be easily solved by using the method of Integral Transform. In the present paper, we have solved the some Partial Differential equations such as Wave equations, Heat flow equations and Laplace equation by using the Fourier-Stieltjes Transform.

Keywords: Fourier Transform, Stieltjes Transform, Partial Differential equation, Fourier-Stieltjes Transform