A Third Runge Kutta method based on a linear combination of arithmetic mean, harmonic mean and geometric mean

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A Third Runge Kutta method based on a linear combination of arithmetic mean, harmonic mean and geometric mean

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We present a new third order Runge Kutta method based on linear combination of arithmetic mean, geometric
mean and harmonic mean to solve a first order initial value problem. We also derive the local truncation error and show the
stability region for the method. Moreover, we compare the new method with Runge Kutta method based on arithmetic mean,
geometric mean and harmonic mean. The numerical results show that the performance of the new method is the same as
known third order Runge-Kutta methods.


Detail Information

Item Type
Jurnal
Penulis
Rini Yanti - Personal Name
M Imran - Personal Name
Syamsudhuha - Personal Name
Student ID
Dosen Pembimbing
Penguji
Kode Prodi PDDIKTI
Edisi
Published
Departement
Kontributor
Bahasa
English
Penerbit Science Publishing Group : New York.,
Edisi
Published
Subyek
No Panggil
Copyright
Science Publishing Group
Doi

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