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Exact Solutions to Some Conformable Time Fractional Equations in Benjamin-Bona-Mahony Family
Alper Korkmaz
The conformable time fractional forms of some partial differential equations are solved in the study. The existence of chain rule and the derivative of composite function enable th…
Stability Satisfied Numerical Approximates to the Non-analytical Solutions of the Cubic Schrödinger Equation
Alper Korkmaz
The time dependent complex Schrödinger equation with cubic nonlinearity is solved by constructing differential quadrature algorithm based on sinc functions. Reduction to a coupled…
A collocation method based on extended cubic B-splines for numerical solutions of the Klein-Gordon equation
Alper Korkmaz, Ozlem Ersoy, Idiris Dag
A generalization of classical cubic B-spline functions with a parameter is used as basis in the collocation method. Some initial boundary value problems constructed on the nonlinea…
On the numerical solution of the Klein-Gordon equation by Exponential B-spline collocation method
Ozlem Ersoy Hepson, Alper Korkmaz, Idiris Dag
In the present study, we solve initial boundary value problem construted on nonlinear Klein-Gordon equation. The collocation method on exponential cubic B-spline functions forming…
Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension
Alper Korkmaz, Ozlem Ersoy, Idiris Dag
Occupation of an interval by self-replicating initial pulses is studied numerically. Two different approximates in different categories are proposed for the numerical solutions of…
Solitary wave simulations of the Boussinesq Systems
Ozlem Ersoy, Idiris Dag, Alper Korkmaz
In the study, the collocation method based on exponential cubic B-spline functions is proposed to solve one dimensional Boussinesq systems numerically. Two initial boundary value p…
Exact Solutions of Space-time Fractional EW and modified EW equations
Alper Korkmaz
The bright soliton solutions and singular solutions are constructed for space-time fractional EW and modified EW equations. Both equations are reduced to ordinary differential equa…