Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

By Asif Yokus, Sema Gülbahar. Applied Mathematics and Nonlinear Sciences, 2019

123 citations recorded by the source corpus.

Abstract In this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym equation. The error norms L2 and L∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/25a851ac609b1b314517519ccc3eed43872558ab

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In Applied Mathematics

1. Hijaz Ahmad
2. Hülya Durur
3. Asif Yokus

In Modeling and Simulation

1. Hijaz Ahmad
2. Hülya Durur
3. Asif Yokus

In Numerical Analysis

1. Hijaz Ahmad
2. Hülya Durur
3. Asif Yokus

Citations in the corpus

• HYPERBOLIC TYPE SOLUTIONS FOR THE COUPLE BOITI-LEON-PEMPINELLI SYSTEM (2020, methodology): “method [25, 26, 27, 28], modified variational iteration algorithm-II [29, 30, 31], first integral method [32], homogeneous balance method [33], modified Kudryashov technique [34], residual power series approach [35], collocation method [36], extended rational SGEEM [37], sine-Gordon expansion method”