4.5 Article

Probabilistic analysis of a foundational class of generalized second-order linear differential equations in classic mechanics

Related references

Note: Only part of the references are listed.
Article Mathematics, Interdisciplinary Applications

MACLAURIN SERIES METHOD FOR FRACTAL DIFFERENTIAL-DIFFERENCE MODELS ARISING IN COUPLED NONLINEAR OPTICAL WAVEGUIDES

Yasir Khan

Summary: Fractal Calculus is used to study waves, especially the complex ones that are difficult to model accurately. The Fractal representation of waves helps in understanding these complex wave phenomena better. The Maclaurin series method proposed in this paper, MSM, allows for obtaining exact and approximate solutions for fractal nonlinear differential-difference models generated by coupled nonlinear optical waveguides. The simplicity and reduced calculation of this method make it a favorable choice when compared to existing approximate methods.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2021)

Article Computer Science, Interdisciplinary Applications

Simple use of the Maclaurin series method for linear and non-linear differential equations arising in circuit analysis

Yasir Khan et al.

Summary: This paper investigates circuit analysis differential equations and proposes a simple and effective approximate solution using the Maclaurin series method. The research is useful for engineers and provides theoretical implementations for various circuit problems in electrical engineering.

COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING (2021)

Article Engineering, Mechanical

Closed-form solutions of redundantly constrained stochastic frames

Giovanni Falsone et al.

PROBABILISTIC ENGINEERING MECHANICS (2020)

Article Mathematics, Applied

Error estimates and post-processing of local discontinuous Galerkin method for Schrodinger equations

Qi Tao et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2019)

Article Mathematics, Applied

A note on the logistic equation subject to uncertainties in parameters

Fabio A. Dorini et al.

COMPUTATIONAL & APPLIED MATHEMATICS (2018)

Article Mathematics, Applied

A note on the logistic equation subject to uncertainties in parameters

Fabio A. Dorini et al.

COMPUTATIONAL & APPLIED MATHEMATICS (2018)

Article Physics, Multidisciplinary

Solution of the finite Milne problem in stochastic media with RVT Technique

Howida Slama et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2017)

Article Mathematics, Applied

On the logistic equation subject to uncertainties in the environmental carrying capacity and initial population density

F. A. Dorini et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2016)

Article Physics, Multidisciplinary

Acoustic-elastodynamic interaction in isotropic fractal media

H. Joumaa et al.

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS (2013)