Evaluation of exact analytical solution for flow to a well, under the assumptions made
in its development commonly requires large amounts of computation time and can
produce inaccurate results for selected combinations of parameters. Large computation
times occur because the solution involves the infinite series. Each term of the series
requires evaluation of exponentials and Bessel functions, and the series itself is
sometimes slowly convergent. Inaccuracies can result from lack of computer precision
or from the use of improper methods of numerical computation. This paper presents a
computationally efficient and an accurate new methodology in differential quadrature
analysis of diffusivity equation to overcome these difficulties. The methodology would
overcome the difficulties in boundary conditions implementations of second order
partial differential equations encountered in such problems. The weighting coefficients
employed are not exclusive, and any accurate and efficient method such as the
generalized differential quadrature method may be used to produce the method’s
weighting coefficients. By solving finite and infinite boundary condition in diffusivity
equation and by comparing the results with those of existing solutions and/or those of
other methodologies, accuracy, convergences, reduction of computation time, and
efficiency of the methodology are asserted.