Solving Schlomilch's Integral Equation by the Regularization-Adomian Methods

摘要

We present a reliable study for the linear and the nonlinear Schl¨omilch’s integralequation and its generalized forms. We also introduce Schl¨omilch-type integralequations and study it as well. The Schl¨omilch’s integral equation has been used formany ionospheric problems, atmospheric and terrestrial physics. We use the regularizationmethod combined with the Adomian decomposition method to handle all forms ofSchl¨omilch’s integral equations. The combined regularization-Adomian method can beused in many applied physics, applied mathematics and engineering applications. Wejustify the reliability of the regularization-Adomian method through illustrative examples.