Integral transform method

Hamiltonian Formulation of Heat Conduction: Integral Transform Method Approach

The mathematical description of physical systems makes often use of the Hamiltonian formalism, which from its original application to derive the so-called Hamilton’s equations of motion in classical mechanics quickly spread on many other physical phenomena, ranging from statistical physics to quantum mechanics [1]. Although the Hamiltonian formulation of a problem of mathematical physics in gen...

Solving Fuzzy Integral Equations of the Second Kind by Fuzzy Laplace Transform Method

Numerical solutions of two-dimensional linear and nonlinear Volterra integral equations: Homotopy perturbation method and differential transform method

Analytical bending solution of fully clamped orthotropic rectangular plates resting on elastic foundations by the finite integral transform method

This study presents exact bending solution of fully clamped orthotropic rectangular plates subjected to arbitrary loads resting on elastic foundations, based on the finite integral transform method. In this method, it is not necessary to determine the deformation function because the basic governing equations of the classical plate theory for orthotropic plates have been used‌. A detailed param...

solving fuzzy integral equations of the second kind by fuzzy laplace transform method