Muhammad Sarwar

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An Innovative Analytical Result of Two-Dimensional Heat Equation Using Joint Mechanism of Natural Transform and Adomian Decomposition Method

2025-05-01

Muhammad Usman , Hidayat Ullah Khan , Muhammad Sarwar +2 more

This research article has put forward an innovative analytical result of the 2D heat equation having a source term. The aforesaid non-homogenous PDE is solved through a new hybrid mechanism. … This research article has put forward an innovative analytical result of the 2D heat equation having a source term. The aforesaid non-homogenous PDE is solved through a new hybrid mechanism. whereas the technique supports the solution process, commencing with the parametric form of the 2D heat equation. Furthermore, this hybrid mechanism which consists of Natural transform (NT) and a series solution method of Adomian decomposition method (ADM) is applied properly. Next, the solution that is obtained for the unknown function is presented in series form. During the computational process, it was observed that the proposed mechanism is less time-consuming and efficient with accurate results. Which shows that the mechanism (proposed mechanism) makes a very useful contribution to the analytical solution of the 2D heat equation. The paper is properly supported with appropriate examples to verify the claim.

Specialty Yarn in Home Decor: Adding Texture, Charm and Elegance

2025-04-28

Muhammad Ahsen , Dr.M. Qammar Tusief Awan , Muhammad Abdullah +7 more

Specialty yarn has taken center stage in the world of home decor, blending its versatile textures, vibrant designs, and sustainable advantages into modern interiors (Smith, 2018; Brown, 2020). This review … Specialty yarn has taken center stage in the world of home decor, blending its versatile textures, vibrant designs, and sustainable advantages into modern interiors (Smith, 2018; Brown, 2020). This review explores the multifaceted applications of specialty yarn, the latest trends reshaping its use, and how it has become a crucial element in eco-conscious living (Textile Industry Association, 2021; Greenway, 2019). With its ability to transform spaces while reflecting individual style and values, specialty yarn offers endless possibilities for creating thoughtful, special, and personal interiors (Robinson & Lee, 2022)

Genetic insights into spike trait inheritance in wheat for drought resilience

2025-04-30

Nadeem Ahmad , Ahsan Javed , Suleman Gohar +7 more

This study genetic insights of spike-related inheritance traits in wheat (Triticum aestivum L.) under water stress. Seven wheat genotypes, comprising five drought-tolerant and two drought-sensitive lines, were crossed in all … This study genetic insights of spike-related inheritance traits in wheat (Triticum aestivum L.) under water stress. Seven wheat genotypes, comprising five drought-tolerant and two drought-sensitive lines, were crossed in all possible combinations in complete diallel fashion. The F1 hybrids and parental lines were tested under both irrigated and drought conditions in a randomized complete block design. Traits such as spikes plant-1, spike length, spikelets spike-1, spike weight, grains spike-1, spike harvest index, and grain yield plant-1 were recorded and analyzed. Significant genotypic variation was observed across all traits, with additive gene and partial dominance identified as the primary genetic mechanisms. Heritability estimates were moderate to high (40%–78%), highlighting the potential for genetic improvement. Traits like spikes per plant and spike length displayed high heritability under drought conditions, making them suitable targets for early-generation selection. The findings suggest that breeding programs focusing on additive gene action can enhance drought tolerance and yield potential in wheat. This research provides a framework for developing high-yielding, resilient wheat varieties suited for water-limited environments, through Identification of drought resilient crosses on the basis of studied traits contributing to sustainable food production also.