UNIV. NEWS. NORTH-CAUCAS. REG. TECHNICAL SCIENCES SERIES. 2022; 4: 11-19
http://dx.doi.org/10.17213/1560-3644-2022-4-11-19
ON THE APPLICATION OF THE METHOD OF NUMERICAL DIFFERENTIATION OF RIDDERS IN SOLVING PROBLEMS OF ELECTRICAL CALCULATIONS
Podbereznaya Irina B. – Candidate of Technical Sciences, Associate Professor, Department «Electromechanics and Electrical Apparatus», Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russia, podbereznayaib@mail.ru
Pavlenko Alexander V. – Doctor of Technical Sciences, Professor, Head of the Department «Electromechanics and Electrical Apparatus», Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russia, rn6lde@mail.ru
Bolshenko Irina A. – Candidate of Technical Sciences, Associate Professor, Department «Electromechanics and Electrical Apparatus», Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russia, bolshenko_ia@npi-tu.ru
Trotsenko Igor V. – Candidate of Technical Sciences, Associate Professor, Dean of the Faculty Energy, Platov South-Russian State Polytechnic University (NPI), Novocherkassk, Russia, tiv110865@yandex.ru
Abstract
The questions of application and modification of the method of numerical differentiation of Ridders in solving problems of electrotechnical calculations are considered. The results of the algorithm operation are presented for various parameters of differentiation step splitting. The problem of choosing the optimal step of numerical differentiation and the influence of the step size on the error in calculating the derivative is studied. An assessment of the influence of an error in setting the value of a function on the error in finite differences is made. An example of numerical differentiation in the test problem of calculating a quasi-stationary magnetic field is given.
Keywords: numerical differentiation, Ridders method, numerical calculations, magnetic field
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