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Characterization of the dynamic behavior of nonlinear biosystems in the presence of model uncertainty using singular invariance PDEs: Application to immobilized enzyme and...
Published 2010-03-01“…The analyticity property of the solution to the invariance PDEs enables the development of a series solution method that can be easily implemented using MAPLE leading to polynomial approximations up to the desired degree of accuracy. …”
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82
Wearable Measurement of ECG Signals Based on Smart Clothing
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83
Mathematical Model of an Open Area of Space Sensor
Published 2020-03-01“…The numerical calculation program is implemented in MAPLE.The program adequacy was checked for a sensor made on one-sided foil Tefl (ε1 = 2,3) with a thickness of b = 1.0 mm. …”
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84
Closed form solutions of bending Bi-directional functionally graded tapered beams using Euler and Timoshenko theories
Published 2025-03-01“…Employing both Euler-Bernoulli and Timoshenko beam theories, the research provides a step-by-step derivation methodology, validated through detailed formulations and computational tools such as Maple software. The analysis examines the effects of material gradation, geometric tapering, and shear deformation on beam behavior, offering comprehensive displacement and stress evaluations. …”
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85
RETRACTED ARTICLE: Analytical investigations of propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide by three computational ideas
Published 2024-03-01“…This method is based on the general properties of the nonlinear model of expansion method with the support of the complete discrimination system for polynomial method and computer algebraic system (AS) such as Maple or Mathematica. The nonparaxial solitons with the propagation of ultra-broad nonparaxial pulses in a birefringent optical waveguide is studied. …”
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86
Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions
Published 2025-02-01“…In addition, our endeavor yielded novel and distinct instances. In addition, Maple 2018 and mathematical programming are utilized to calculate numerical values for various coefficients related to the Weber-Sonien integral and its harmonic degree.…”
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Shannon Entropy Computations in Navier–Stokes Flow Problems Using the Stochastic Finite Volume Method
Published 2025-01-01“…The deterministic problem is solved using the freeware OpenFVM, the computer algebra software MAPLE 2019 is employed for the LSM local fittings, and the resulting probabilistic quantities are computed. …”
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89
Computational Behavior of Second Law Poiseuille Flow of Micropolar Fluids in a Channel: Analytical Treatment
Published 2021-01-01“…Analytical treatment is carried out employing the in-house symbolic command using the MAPLE software. The behavior of several contributing parameters such as material parameters, the couple stresses for both the zones on the velocity, and microrotation profiles are investigated and presented via graphs. …”
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Innovative soliton solutions for a (2+1)-dimensional generalized KdV equation using two effective approaches
Published 2024-12-01“…Finally, we provide 2D and 3D graphs for various solutions that have been obtained using Maple.…”
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92
Modulation Instability, Analytical, and Numerical Studies for Integrable Time Fractional Nonlinear Model through Two Explicit Methods
Published 2024-01-01“…This work provided the effect of the recently updated two fraction forms, and in the future, we will integrate the space–time M-fractional form of the governing model by using the extended form of the Kudryashov method. Maple 18 is utilized as the simulation tool.…”
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93
Tatars of the Grand Duchy of Lithuania in the United States of America
Published 2023-10-01“…They also founded the Muslim mizars in the Maple Grove and Cedar Grove cemeteries in New York. …”
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94
Soliton solutions of the (2 + 1)-dimensional Jaulent-Miodek evolution equation via effective analytical techniques
Published 2025-01-01“…These solutions are computed using Maple 18, and encompass a variety of wave structures, including bright solitons, kink solitons, periodic waves, and singular solitons. …”
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95
Invasion dynamics of Acer negundo L. in ribbon forests of the Altai Krai: ecological impacts and predictive habitat modeling
Published 2024-12-01“…This study examines the invasion dynamics of ash-leaved maple (box elder, Acer negundo L.) in the ribbon forests of Altai Krai, Russia, where it has become one of the dominant invasive species over the past thirty years. …”
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96
Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate
Published 2023-01-01“…We obtain the Riemann–Liouville fractional integral operator for Müntz orthogonal functions so that we can reduce the complexity of calculations and increase the speed of solving the problem, which can be seen in the process of running the Maple program. To solve the fractional Bagley–Torvik equation with initial and boundary conditions, we use Müntz orthogonal functions and consider simple and distinct real roots of Müntz orthogonal functions as collocation points. …”
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97
Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense
Published 2025-03-01“…This analysis centers on how phase shifts depend on various parameters and compares these shifts with those found in exact soliton solutions. With the help of Maple, a robust computer algebra system, we generate generalized solitons and examine their dynamic behavior by exploring parameter values and their interrelations. …”
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98
A mixed method evaluation of ecosystem services and services-to-ecosystems illuminates culturally important trees in a settled landscape
Published 2025-12-01“…We found that tree abundance generally correlated with cultural emphasis. Maple was the most biophysically abundant and culturally important tree, associated with the greatest diversity of ecosystem services. …”
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Optimizing renewable systems with nonlinear thermal radiation and inclined magnetic field using radiative Maxwell hybrid nanofluid flow over Darcy-Forchheimer surface
Published 2025-12-01“…A complex mathematical equation is solved through the similarity transformation approach and numerically resolved through MAPLE. The flow patterns for various scenarios were assessed using streamlines. …”
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