On the Homotopy Perturbation Method and the Adomian Decomposition Method for Solving Abel Integral Equations of the Second Kind
نویسندگان
چکیده
The mathematical model of many physical problems takes the form of the well-known Abel integral equation. This equation was applied by Niels Abel in 1823 to describe a sliding point mass in a vertical plane on a unknown curve under gravitational force. The point mass starts its motion without initial velocity from a point which has a vertical distance x from the lowest point of the curve [1]. Using the work-energy theorem, the equation of the unknown curve that obtained is the well-known Abel integral equation
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