Yazar "Anaç, Halil" için listeleme
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Homotopy Perturbation Elzaki Transform Method for Obtaining the Approximate Solutions of the Random Partial Differential Equations
Anaç, Halil; Merdan, Merdan; Kesemen, Tülay (Gazi University, 2022)The series solutions of the random nonlinear partial differential equations have been examined by a hybrid method. The random nonlinear partial differential equations are studied by both normal and uniform distributions. ... -
A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation
Bektaş, Umut; Anaç, Halil (Springer Science and Business Media Deutschland GmbH, December 2)This paper solves fractional differential equations using the Shehu transform in combination with the q-homotopy analysis transform method (q-HATM). As the Shehu transform is only applicable to linear equations, q-HATM is ... -
A new study on the Newell-Whitehead-Segel equation with Caputo-Fabrizio fractional derivative
Alkan, Aslı; Anaç, Halil (American Institute of Mathematical Sciences, 2024)In this research, we propose a new numerical method that combines with the Caputo-Fabrizio Elzaki transform and the q-homotopy analysis transform method. This work aims to analyze the Caputo-Fabrizio fractional ... -
The novel numerical solutions for time-fractional Fornberg-Whitham equation by using fractional natural transform decomposition method
Alkan, Aslı; Anaç, Halil (American Institute of Mathematical Sciences, 2024)The time-fractional partial differential equations were solved by the fractional natural transform decomposition method. Fractional derivatives are Caputo sense. The Fornberg-Whitham equation is a generalization of the ... -
Solving of Some Random Partial Differential Equations by Using Differential Transformation Method and Laplace- Padé Method
In this study, the solutions of random partial differential equations are examined. The parameters and the initial conditions of the random component partial differential equations are investigated with Beta distribution. ...