Symmetry· 2026Q2
Solving Three-Dimensional Conformable Partial Differential Equations Using the Quadruple Sumudu Transform Decomposition Method
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- Q2SCImago
- 2026year
Short summary
A new conformable quadruple Sumudu transform combined with the Adomian decomposition method effectively solves 3D linear and nonlinear conformable partial differential equations.
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Key points
- Introduced a conformable quadruple Sumudu transform and established its properties.
- Combined the new transform with the Adomian decomposition method.
- Successfully solved three-dimensional linear and nonlinear conformable partial differential equations.
- Validated the method by obtaining exact solutions that match literature for three example cases.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this work, we introduce the conformable quadruple Sumudu transform and employ it in conjunction with the Adomian decomposition method to solve three-dimensional linear and nonlinear conformable partial differential equations. We establish the existence of the proposed transform and present several of its fundamental properties. The combined approach is applied to three illustrative examples, and the obtained exact solutions agree with the corresponding solutions reported in the literature, demonstrating the applicability and effectiveness of the proposed method.
The authors' abstract, as published at the source. Symmetry, 2026 · DOI ↗
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Field: Modeling and Simulation
Modeling and SimulationMathematics