Concepedia

Approximate analytical solutions of fractional Benney–Lin equation by reduced differential transform method and the homotopy perturbation method

Praveen Kumar Gupta

Computers & Mathematics with Applications · 2011 · 85 citations · 27 references

Concepts

Numerical AnalysisPerturbation MethodFractional-order SystemApproximate Analytical SolutionsHomotopy Perturbation MethodFractional Benney–lin Equation

References

27

Homotopy perturbation technique

Ji‐Huan He · Computer Methods in Applied Mechanics and Engineering · 1999 · 3.4K citations

Numerical Analysis, Perturbation Method, Singularly Perturbed Problem +2

Long Waves on Liquid Films

D. J. Benney · Journal of Mathematics and Physics · 1966 · 921 citations

Engineering, Physics, Liquid Films +5

Solution of fractional differential equations by using differential transform method

Aytaç Arıkoğlu, İbrahim Özkol · Chaos Solitons & Fractals · 2006 · 464 citations

Fractional-order System, Differential Transform Method, Fractional Dynamic

Finite amplitude side-band stability of a viscous film

S. P. Lin · Journal of Fluid Mechanics · 1974 · 310 citations

Finite Bandwidth, Multiple Scales, Engineering +13

Reduced Differential Transform Method for Partial Differential Equations

Yıldıray Keskin, Galip Oturanç · International Journal of Nonlinear Sciences and Numerical Simulation · 2009 · 269 citations