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Extended accelerated overrelaxation iteration techniques in solving heat distribution problems [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
Several stationary iteration techniques for numerical solutions to special systems of linear equation systems of the form 𝒜𝑢 = 𝑏 have been studied in an attempt to improve their convergence, suitability, and strength.
Khadeejah James Audu
doaj   +1 more source

On the strong P-regular splitting iterative methods for non-Hermitian linear systems

open access: yesAIMS Mathematics, 2021
The strong P-regular splitting is put forward and defined for iterative methods of non-Hermitian linear systems in the paper. The strong P-regular splitting combining SOR iterative methods and relaxed SOR iterative methods are established, and conditions
Junxiang Lu, Chengyi Zhang
doaj   +1 more source

NUMERICAL COMPARISON OF RUNGE-KUTTA (RK5) AND NEW ITERATIVE METHOD (NIM) FOR SOLVING METASTATIC CANCER MODEL [PDF]

open access: yesMalaysian Journal of Computing, 2021
This paper attempts to present and employ Runge-Kutta Method of fifth-order (RK5) and New Iterative Method for the numerical solution of metastatic cancer model which occur in two compartments of cancer environment.
Falade Kazeem Iyanda   +2 more
doaj   +1 more source

Some New Iterative Algorithms for Solving One-Dimensional Non-Linear Equations and Their Graphical Representation

open access: yesIEEE Access, 2021
Solving non-linear equation is perhaps one of the most difficult problems in all of numerical computations, especially in a diverse range of engineering applications.
Amir Naseem   +2 more
doaj   +1 more source

A Data-Driven Parameter Prediction Method for HSS-Type Methods

open access: yesMathematics, 2022
Some matrix-splitting iterative methods for solving systems of linear equations contain parameters that need to be specified in advance, and the choice of these parameters directly affects the efficiency of the corresponding iterative methods. This paper
Kai Jiang, Jianghao Su, Juan Zhang
doaj   +1 more source

A note on the preconditioned tensor splitting iterative method for solving strong M-tensor systems

open access: yesAIMS Mathematics, 2022
In this note, we present a new preconditioner for solving the multi-linear systems, which arise from many practical problems and are different from the traditional linear systems.
Qingbing Liu   +3 more
doaj   +1 more source

Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations

open access: yesApplied Mathematics in Science and Engineering, 2022
In this research, we suggested a numerical iterative scheme for investigating the numerical solution of fuzzy linear and nonlinear systems of equations, particularly where the linear or nonlinear system co-efficient is a crisp number and the right-hand ...
Mudassir Shams   +4 more
doaj   +1 more source

Approximate inverse preconditioners for linear systems arising from spatial balanced fractional diffusion equations

open access: yesAIMS Mathematics, 2023
We consider the preconditioned iterative methods for the linear systems arising from the finite volume discretization of spatial balanced fractional diffusion equations where the fractional differential operators are comprised of both Riemann-Liouville ...
Xiaofeng Guo, Jianyu Pan
doaj   +1 more source

Constrained Output Iterative Learning Control [PDF]

open access: yesArchives of Control Sciences, 2020
Iterative Learning Control (ILC) is a well-known method for control of systems performing repetitive jobs with high precision. This paper presents Constrained Output ILC (COILC) for non-linear state space constrained systems.
Kaloyan, Yovchev   +2 more
doaj   +1 more source

XAMG: A library for solving linear systems with multiple right-hand side vectors

open access: yesSoftwareX, 2021
This paper presents the XAMG library for solving large sparse systems of linear algebraic equations with multiple right-hand side vectors. The library specializes, but is not limited, to the solution of linear systems obtained from the discretization of ...
Boris Krasnopolsky, Alexey Medvedev
doaj   +1 more source

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