# New Laplace-type integral transform for solving steady heat-transfer problem

## TL;DR

This paper introduces a new Laplace-type integral transform designed to solve steady heat-transfer problems more effectively and comfortably than existing transforms, with demonstrated advantages over Sumudu, natural, and Elzaki transforms.

## Contribution

A novel Laplace-type integral transform (NL-TIT) is proposed, generalizing existing transforms and improving visualization and application in steady heat-transfer problem solutions.

## Key findings

- The NL-TIT effectively solves steady heat-transfer problems.
- Results outperform existing transforms like Sumudu, natural, and Elzaki.
- The transform offers better visualization and ease of use.

## Abstract

The fundamental purpose of this paper is to propose a new Laplace-type integral transform (NL-TIT) for solving steady heat-transfer problems. The proposed integral transform is a generalization of the Sumudu, and the Laplace transforms and its visualization is more comfortable than the Sumudu transform, the natural transform, and the Elzaki transform. The suggested integral transform is used to solve the steady heat-transfer problems, and results are compared with the results of the existing techniques.