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Research Article Open access CC BY 4.0

An Application of Mathematical Methods for Solving of Scientific Problems

G. Mehdiyeva, V. Ibrahimov, M. Imanova

Current Journal of Applied Science and Technology · pp. 1–15 · Published 13 Jan 2016

10.9734/BJAST/2016/22964

Abstract

As is known, the formation and development of the mathematical methods are largely related with the successful application of these methods to solve problems of the natural sciences. Recently the area of application of the mathematical methods is greatly expanded. It is difficult to find an area where it is not used in solving different problems. As is known, is appeared the necessity to solve the differential, integral and integro-differential equations in solving of scientific problems. Note that one of the basic questions in the modern computational mathematics consists of construction of the numerical methods with the high accuracy. Therefore, here, is proposed the multi-step method with higher accuracy than the known. And is constructed the stable methods with the expanded area of stability for solving the above mentioned equations.  

Initial-value problem for ODE Volterra integral equation multistep multiderivative methods (MMM) hybrid methods initial-value problem for integro-differential equations

Cited by 8

A Way to Construct a Hybrid Forward-Jumping Method

G Mehdiyeva, V Ibrahimov, M Imanova · IOP Conference Series: Materials Science and Engineering · 2017

The Way to Construct Innovative Methods for Solving Initial-Value Problem of the Volterra Integro-Differential Equation

Vagif Ibrahimov, Praveen Agarwal, Davron Aslonqulovic Juraev · IETI Transactions on Data Analysis and Forecasting (iTDAF) · 2024

One a way for Constructing Hybrid Methods with the Constant Coefficients and their Applied

G Mehdiyeva, V Ibrahimov, M Imanova · IOP Conference Series: Materials Science and Engineering · 2017

On Some Comparison of Multistep Multi-derivative Methods and Its Application to Solve the Volterra Integro-Differential Equations

M. N. Imanova, V. R. Ibrahimov · Springer Proceedings in Mathematics & Statistics · 2026

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