Abstract
In this paper, the linear and nonlinear Schlomilch’s integral equations and their generalized forms are studied. The Schlomilch’s integral equations are used for many ionospheric problems, atmospheric and terrestrial physics. The generalized fractional order of the Chebyshev orthogonal functions (GFCF) collocation method is used to handle many forms of Schlomilch’s integral equations. The GFCF method can be used in the applied physics, applied mathematics, and engineering applications. The reliability of the GFCF method is justified through illustrative examples.
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Parand, K., Delkhosh, M. Solving the nonlinear Schlomilch’s integral equation arising in ionospheric problems. Afr. Mat. 28, 459–480 (2017). https://doi.org/10.1007/s13370-016-0459-3
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DOI: https://doi.org/10.1007/s13370-016-0459-3
Keywords
- Fractional order of the Chebyshev functions
- Schlomilch’s integral equations
- Terrestrial physics
- Collocation method
- Integral equations