Natural SciencesMathematicsComputational MechanicsDifferential EquationsDynamical SystemsIntegral Equation FormulationsIntegral EquationsNumerical Methods For Differential EquationsPartial Differential EquationsPerturbation MethodsPerturbation TheoryFredholm Integral EquationsFredholm TheoryLinear Integral EquationsNonlinear Integral EquationsVolterra EquationsVolterra Integral EquationsVolterra Theory
Aims to solve Fredholm and Volterra non‐linear integral equations of the first kind. Uses the Adomian method, but since these equations are not under the canonical form u‐Nu = f , proposes some transformations for reducing the integral equations to integral equations of the second kind, much more appropriate. Uses a perturbation method for Fredholm equations. Concerning Volterra equations, uses a differentiation of the original equation, under sufficient regularity conditions, for obtaining a canonical form of Adomian.
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