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Factorization and Solution of Linear and Nonlinear Second Order Differential Equations with Variable Coefficients and Mixed Conditions
(2021)
This chapter deals with the factorization and solution of initial and boundary value problems for a class of linear and nonlinear second order differential equations with variable coefficients subject to mixed conditions. ...
Closed-Form Solution of the Bending Two-Phase Integral Model of Euler-Bernoulli Nanobeams
(2022)
Recent developments have shown that the widely used simplified differential model of Eringen’s nonlocal elasticity in nanobeam analysis is not equivalent to the corresponding and initially proposed integral models, the ...
Approximate Solution of Fredholm Integral and Integro-Differential Equations with Non-Separable Kernels
(2022)
This chapter deals with the approximate solution of Fredholm integral equations and a type of integro-differential equations having non-separable kernels, as they appear in many applications. The procedure proposed consists ...
An Algorithm for the Closed-Form Solution of Certain Classes of Volterra–Fredholm Integral Equations of Convolution Type
(2022)
In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind. The method is based on the existence ...
A unified formulation of analytical and numerical methods for solving linear fredholm integral equations
(2021)
This article is concerned with the construction of approximate analytic solutions to linear Fredholm integral equations of the second kind with general continuous kernels. A unified treatment of some classes of analytical ...