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Analytical Approximate Solution of Chemical Kinetics Problems [PDF]
Computational Algorithms and Numerical Dimensions, 2022 In this article, the chemical kinetics problem is presented. The Differential Transformation Method (DTM) is presented to find an approximate analytical solution to the chemical kinetics problems.
Hatıra Günerhan
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A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 In this manuscript, for approximation of solutions to equations that are nonlinear, a new class of two-point iterative structure that is based on a weight function involving two converging power series, is developed.
O. Ogbereyivwe, O. Izevbizua
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Mathematics, 2022 The paper studies a degenerate nonlinear parabolic equation containing a convective term and a source (reaction) term. It considers the construction of approximate solutions to this equation with a specified law of diffusion wave motion, the existence of
Alexander Kazakov, Lev Spevak
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Axioms, 2023 The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat +4 more
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Effective algorithms for solving functional equations with superposition on the example of the Feigenbaum equation [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 Purpose. New algorithms were consider for functional equations solving using the Feigenbaum equation as an example. This equation is of great interest in the theory of deterministic chaos and is a good illustrative example in the class of functional ...
Polunovskii, Andrey Andreevich
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Semi-Analytical Methods in the Problem of Deformation of a Fluid Strip
Mathematics, 2023 A problem from a class of unsteady plane potential flows with a free boundary is considered. The entire boundary occupied by the liquid is free, and a zero pressure is maintained. There are neither external nor capillary forces.
Evgenii Karabut, Elena Zhuravleva
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A Non-Singular Analytical Technique for Reinforced Non-Circular Holes in Orthotropic Laminate
International Journal of Applied Mechanics and Engineering, 2020 The intricacy in Lekhnitskii’s available single power series solution for stress distribution around hole edge for both circular and noncircular holes represented by a hole shape parameter ε is decoupled by introducing a new technique.
Pradeep Mohan, R. Ramesh Kumar
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New Theorems in Solving Families of Improper Integrals
Axioms, 2022 Many improper integrals appear in the classical table of integrals by I. S. Gradshteyn and I. M. Ryzhik. It is a challenge for some researchers to determine the method in which these integrations are formed or solved. In this article, we present some new
Mohammad Abu Ghuwaleh +2 more
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A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
Mathematics, 2023 Recently, researchers have been interested in studying fractional differential equations and their solutions due to the wide range of their applications in many scientific fields.
Hassan Kamil Jassim +1 more
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Fibonacci Series from Power Series [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 We show how every power series gives rise to a Fibonacci series and a companion series involving Lucas numbers. For illustrative purposes, Fibonacci series arising from trigonometric functions, inverse trigonometric functions, the gamma function and the digamma function are derived.
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