Results 41 to 50 of about 10,048,456 (130)

Analytical Solutions of Nonlinear Partial Differential Equations Using the Double Sawi–Adomian Decomposition Method

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A double Sawi–Adomian decomposition framework is developed for nonlinear initial‐value problems with one space and one time variable. The double transform converts the time derivative and the prescribed data into a Volterra integral equation, whereas Adomian polynomials organize the nonlinear term.
Monther Al-Momani, Baha′ Abughazaleh, Zenghui Hu   +2 more
wiley   +1 more source

An Integrated T‐Spherical Fuzzy 2‐Tuple Linguistic WASPAS Framework With Hamy Mean Aggregation for Wildlife Conservation Planning

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Due to the inherent uncertainty in selecting a best alternative, T‐spherical fuzzy 2‐tuple linguistic (T‐SF2TL) sets will be an advantageous method for decision makers (DMs) to assist their evaluations within T‐SF2TL framework. The objective of this study is to establish weighted Hamy mean (WHM) and weighted dual Hamy mean (WDHM) operators within the ...
Wejdan Deebani, Muhammad Ibrar, Zahir Shah, Nasser Aedh Alreshidi, Meshal Shutaywi, Li Yanhong, Paolo Maria Mariano   +6 more
wiley   +1 more source

The Weibull–Odd Perks Distribution: Statistical Theory, Regression Modeling, and Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce the Weibull–Odd Perks distribution (WOPD), a three‐parameter lifetime model obtained by composing the odds function of the Perks distribution with the Weibull‐G generator. The construction admits a structural reduction thus if X ~ WOPD(ψ, υ, γ), then eυX − 1 follows a two‐parameter Weibull law, and this identity drives the entire analytic ...
John Kwadey Okutu, Selasi Kwaku Ocloo, Abdulzeid Yen Anafo, Suleman Nasiru, Smritijit Sen   +4 more
wiley   +1 more source

Image Reconstruction with Maclaurin Series Expansion

This is a forward-thinking theoretical investigation and may not have practical values for current imaging systems. This investigation assumes that there is no noise in the measurements, the signals are continuous (not sampled), the computer has perfect ...
Zeng, Gengsheng L
core   +1 more source

The binomial series: Part 2 (MathsCasts)

, 2012
We extend the expansion of the nth power of a binomial and investigate the power series for the nth power of (1+x). For all n, Infinite Maclaurin series are obtained and the coefficients identified.
Stephen Bedding
core   +1 more source

On the Analysis of Variance Generalized Extropy Measure With Application to Engineering Data in Saudi Arabia

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Measures of uncertainty such as entropy, extropy, varentropy, and varextropy play a fundamental role in statistical modeling and information analysis of probability distributions. In this article, we present and examine the variance of generalized extropy, providing a detailed investigation of its mathematical structure and theoretical characteristics.
Mohamed Said Mohamed, Hanan H. Sakr, Smritijit Sen   +2 more
wiley   +1 more source

Results Related to the Sharp Coefficients Bounds for Symmetric Convex Functions Connected With the Sigmoid Function

Journal of Mathematics, Volume 2026, Issue 1, 2026.
A challenging task in studying geometric function theory is determining the sharp estimates for coefficient‐related results that come up in the Taylor series of analytic univalent functions. In the current paper, we attempt to establish some estimates of results concerning coefficient inequalities for the class of convex functions with respect to ...
Isra Al-Shbeil, Wael Mahmoud Mohammad Salameh, A. Alameer, Muhammad Abbas, Maha Alammari, Muhammad Arif, Alina Alb Lupaş, Smritijit Sen   +7 more
wiley   +1 more source

Maclaurin Series: Exponential Functions (MathsCasts)

, 2012
Calculates the MacLaurin series for the exponential function.
James Leahy
core   +1 more source

Analysis of Fractal Complex Differential Equations Using the Homotopy Analysis Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates fractal complex differential equations using the homotopy analysis method (HAM). The method provides an effective analytical approach. The fundamental concepts of fractal complex calculus and the theoretical framework of HAM are briefly presented.
Muhammed Emin Batuhan, Ercan Çelik, Smritijit Sen   +2 more
wiley   +1 more source

Substrate‐Restricted Asymmetric Evolution of Solid‐State Nanopores

Advanced Theory and Simulations, Volume 8, Issue 12, December 2025.
Standalone nanopores can either expand or shrink based on the nucleation mechanism. A substrate‐restricted asymmetric pore dynamics are uncovered ‐ top expansion and bottom shrinkage, with minimum aperture reduced and forming a conical geometry, driven by molecular migration along an energy potential gradient within nanopores.
Hongshuai Liu, Mingzhi Yu, Da Qu, Fengzhou Fang, Jufan Zhang   +4 more
wiley   +1 more source