Generalized Mittag-Leffler function method for solving Lorenz system by Arafa, A.A.M., Rida, S.Z., Ali, H.M.

“…In this paper, generalizations Mittag-Leffler function method is applied to solve approximate and analytical solutions of nonlinear fractional differential equation systems such as lorenz system of fractional oreder, and compared the results with the results of Homotopy perturbation method (HPM) and Variational iteration method (VIM) in the standard integer order form. …”
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Comparison Of Various Alogrithms In Different Loading Of Load Flow Analysis by Tajudin, Nur Atikah

“…The set of nonlinear algebraic equations is solved using iteration methods. The results ware compared for number of iteration and the computational time taken. …”
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Self-adaptive conjugate method for a robust and efficient performance measure approach for reliability-based design optimization by Keshtegar, Behrooz, Baharom, Shahrizan, El-Shafie, Ahmed

“…The advanced mean value and hybrid mean value methods are commonly used to evaluate the probabilistic constraint of reliability-based design optimization (RBDO) problems. These iterative methods can yield unstable solutions to highly nonlinear performance functions. …”

Enhancement of network security by use machine learning by Hasan, Ahmed Raheem

“…The time taken to reach the accuracy is also short with less number of iteration. The ANNDL uses iterations method to detect the data, do matching and identify the data. …”
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Materials selection analysis for vibration isolator pads by Zaman, Izzuddin, Subramaniyan, S Kanna, Sanusi, Shahmir Hayyan, Azmir, Nor Azali, Manshoor, Bukhari, Khalid, Amir

“…In this case, the stackable washing and dryer machine together with the isolator pads were simplified into two degree of freedom system, where the first and the second natural frequencies for each material of isolator pad were determined by using matrix iteration method, in which later were validated by a modern tool such as Matlab. …”
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A comparative study on the postbuckling behaviour of circular plates by Nair, Anju V., Abdul Rahman, Mohd Kasim, Mohd Zuki, Salleh

“…Therefore, a comparative study on the thermal post buckling behavior of plates by various numerical methods such as finite element formulation, shear deformation theory, Rayleigh – Ritz method, iteration methods and so on will be helpful to obtain a cutting edge on numerical solutions and their applications in varied engineering applications. …”
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Application of refinement successive over-relaxation (RSOR) in solving the piecewise polynomial on fredholm integral equation of the second type by Nor Syahida Mohamad, Jumat Sulaiman, Azali Saudi, Nur Farah Azira Zainal

“…In order to test the proposed iterative methods, three tested examples were solved. The results were subsequently obtained based on three parameters, including the iterations (I), execution period (s), and the maximum absolute error, which was all recorded and further compared with two iterations, SOR and RSOR.…”
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Mathematical modeling of brain tumor cell growth for passive, active and oxygen transport mechanism with microgravity condition / Norfarizan Mohd Said by Mohd Said, Norfarizan

“…The models developed are in the form of parabolic equations which is discretized using the Finite Difference Method (FDM) with weighted average approximation. Numerical iterative methods, namely Jacobi (JAC), Red-Black Gauss-Seidel (RBGS), Red-Black Successive Over Relaxation (RBSOR) and Alternating Group Explicit (AGE) method are used to solve the discretized models……”
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Numerical solution of fractional partial differential equations by spectral methods by Kanwal, Afshan

“…The results have been compared with the existing methods such as Chebyshev wavelets method, Legendre wavelets method, Adomian decomposition method, Variational iteration method, Finite difference method and Finite element method. …”
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Approximate Analytical Methods in Double Parametric Form Of Fuzzy Numbers for Solving Fuzzy Partial Differential Equations (S/O 14188) by Jameel, Ali Fareed, Haji Man, Noraziah

“…Therefore, this study has developed new approximate analytical methods in double parametric form of fuzzy numbers based on the original crisp Homotopy Perturbation Method, Variational Iteration Method, Homotopy Analysis Method and Optimal Homotopy Asymptotic Method to solve FPDEs involving fuzzy heat equation, fuzzy reaction-diffusion equation and fuzzy wave equation. …”
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Improved hybrid methods in solving single variable nonlinear algebraic equations / Nor Hanim Abd Rahman by Abd Rahman, Nor Hanim

“…Secondly, some of the methods utilized successive approximation procedure to ensure every step of computing will converge to the desired root and one of the most common problems is the improper initial values for the iterative methods. Thus, this particular research aims to develop an improved numerical solution for solving nonlinear equations by using hybrid concept and higher order correctional terms. …”
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Flexible horizontal piezoelectric energy generator for sea wave applications by Ahmad Syafiq, Deraman, Mohd Rusllim, Mohamed, Wan Ismail, Ibrahim, Leung, Puiki

“…A finite element model is established from ANSYS simulations to solve the iteration method by generating resonance frequency (fr). …”
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Numerical Solution for Fuzzy Diffusion Problem via Two Parameter Alternating Group Explicit Technique by A. A. Dahalan, Jumat Sulaiman

“…The idea of using the HS scheme is to reduce the computational complexity of the iterative methods by nearly/more than half. Additionally, numerical outcomes from the solution of two experimental problems are included and compared with the Alternating Group Explicit (AGE) approaches to clarify their feasibility. …”
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Solving one-dimensional Porous Medium Equation using unconditionally stable Half-Sweep finite difference and SOR method by Jackel Vui Lung Chew, Jumat Sulaiman, Andang Sunarto

“…As part of the development of a family of efficient iterative methods to solve the porous medium equation, the Half-Sweep technique has been adopted. …”
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Solving one-dimensional porous medium equation using unconditionally stable half-sweep finite difference and SOR method by Jackel Vui Lung Chew, Jumat Sulaiman, Andang Sunarto

“…As part of the development of a family of efficient iterative methods to solve the porous medium equation, the Half-Sweep technique has been adopted. …”
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