To solve more complex problems, mathematicians and engineers have developed powerful computer-aided numerical methods, which can be categorized into two main types: differential methods and integral methods.
For the mentioned task, they used different techniques like decomposition methods [29], homotopy methods [30], and integral transform methods [31], etc.
Fig. 4 Difference between the test results of the two discussed evaluation methods (amplitude and integral energy method).
By using the transfer matrix method and Fourier integral transform technique, the problem is reduced to a Cauchy singular integral equation.
Employment of the transfer matrix method and Fourier integral transform technique reduce the problem to a system of Cauchy singular integral equations.
There are two main techniques for dealing with the integrals that appear in the derivative: the free-weighting matrix method and the integral inequality method.
By using the transfer matrix method and Hankel integral transform technique, this problem is formulated as the solution of the Cauchy singular integral equations.
The Friedman method and universal integral method were applied for the determination of kinetic parameters for forming H2 and CO by phenol decomposition.
The method consists of three sub-methods, including an activity correlation evaluation method, a current trust evaluation method, and an integral trust evaluation method.
