An Efficient Computation Approach for Abel’s Integral Equations of the Second Kind

摘要

This paper presents the application of a new powerful method named as q-homotopy analysis transform method (q-HATM). The q-HATM is a combination of the q-homotopy analysis scheme and the Laplace transform approach and more general than other existing techniques. Abel’s integral equation of the second kind has been solved by using this method. We solve some examples and plot the graphs. The numerical solutions are shown in the form of graphs.