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math.NA2018
Piecewise linear approximate solution of fractional order non-stiff and stiff differential-algebraic equations by orthogonal hybrid functions
Seshu Kumar Damarla, Madhusree Kundu
A simple yet effective numerical method using orthogonal hybrid functions consisting of piecewise constant orthogonal sample-and-hold functions and piecewise linear orthogonal tria…
math.NA2018
Novel hybrid function operational matrices of fractional integration: An application for solving multi-order fractional differential equations
Seshu Kumar Damarla, Madhusree Kundu
In the present work, an attempted was made to develop a numerical algorithm by the use of new orthogonal hybrid functions formed from hybrid of piecewise constant orthogonal sample…
math.NA2018
New orthogonal hybrid function based numerical method to solve system of fractional order differential equations
Seshu Kumar Damarla, Madhusree Kundu
In this paper, an easy-to-implement and computationally effective numerical method based on the new orthogonal hybrid functions is developed to solve system of fractional order dif…