A new approach using integral transform to solve cancer models
The objective of this work is to investigate analytical solutions of some models of cancer
tumors using the Laplace residual power series method (LRPSM). The proposed method …
tumors using the Laplace residual power series method (LRPSM). The proposed method …
A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions
M Modanli, ST Abdulazeez… - Numerical Methods for …, 2021 - Wiley Online Library
This article will give the residual power series method (RPSM) for solving pseudo hyperbolic
partial differential equations with nonlocal conditions, RPSM is essentially based on general …
partial differential equations with nonlocal conditions, RPSM is essentially based on general …
A novel treatment of fuzzy fractional Swift–Hohenberg equation for a hybrid transform within the fractional derivative operator
This article investigates the semi-analytical method coupled with a new hybrid fuzzy integral
transform and the Adomian decomposition method via the notion of fuzziness known as the …
transform and the Adomian decomposition method via the notion of fuzziness known as the …
[PDF][PDF] Solutions to nonlinear pseudo hyperbolic partial differential equations with nonlocal conditions by using residual power series method
In this paper, new solutions to nonlinear pseudo-hyperbolic equations with non-local
conditions by residual power series (RPS) method is given. This method is based on the …
conditions by residual power series (RPS) method is given. This method is based on the …
[HTML][HTML] Closed-form solutions of higher order parabolic equations in multiple dimensions: A reliable computational algorithm
Abstract Parabolic equations play an important role in chemical engineering, vibration
theory, particle diffusion and heat conduction. Solutions of such equations are required to …
theory, particle diffusion and heat conduction. Solutions of such equations are required to …
Robotnov function based operator for biological population model of biology
Purpose The population model has an important role in biology to interpret the spreading
rate of viruses and parasites. This biological model is also used to identify fragile species …
rate of viruses and parasites. This biological model is also used to identify fragile species …
The solutions of nonlinear fractional partial differential equations by using a novel technique
In this article, the solutions of higher nonlinear partial differential equations (PDEs) with the
Caputo operator are presented. The fractional PDEs are modern tools to model various …
Caputo operator are presented. The fractional PDEs are modern tools to model various …
Multi-step Residual Power Series Method for Solving Stiff Systems
M Al Zurayqat, S Hasan - European Journal of Pure and Applied …, 2024 - ejpam.com
In this paper, an efficient algorithm based on the residual power series method (RPSM) is
presented to solve stiff systems of Caputo fractional order. We apply the RPSM on …
presented to solve stiff systems of Caputo fractional order. We apply the RPSM on …
[PDF][PDF] A New Approach Using Integral Transformations to Solve Cancer Models. 2022, 6, 490
The objective of this work is to investigate analytical solutions of some models of cancer
tumors using the Laplace residual power series method (LRPSM). The proposed method …
tumors using the Laplace residual power series method (LRPSM). The proposed method …
Approximate Solutions of the Fractional Clannish Random Walker's Parabolic Equation with the Residual Power Series Method
SÇ Ünal - Journal of New Theory, 2023 - dergipark.org.tr
One of the prominent nonlinear partial differential equations in mathematical physics is the
Clannish Random Walker's Parabolic (CRWP) equation. This study uses Residual Power …
Clannish Random Walker's Parabolic (CRWP) equation. This study uses Residual Power …