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An efficient semi-analytical technique to solve multi-dimensional Burgers’ equation
The work of this paper is motivated by the recently published article (Zeidan et al., Math Methods Appl Sci 43(5):2171–2188,
2020 ) in which the...
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A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams
This paper presents an enhanced version of the standard shooting method that enables problems with two unknown parameters to be solved. A novel...
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Stability analysis of fractional order breast cancer model in chemotherapy patients with cardiotoxicity by applying LADM
Breast cancer is the most common type of cancer in women. Chemotherapy is primarily used for patients with stage 2 to 4 breast cancer. Most...
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A novel approach for solving multi-term time fractional Volterra–Fredholm partial integro-differential equations
This article deals with an efficient numerical technique to solve a class of multi-term time fractional Volterra–Fredholm partial...
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An accelerated solution for some classes of nonlinear partial differential equations
In this paper, we apply an accelerated version of the Adomian decomposition method for solving a class of nonlinear partial differential equations....
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Study of One Dimensional Groundwater Recharge Through Porous Media by Aboodh Transform Homotopy Perturbation Method
In this paper, one-dimensional groundwater recharge using porous media is discussed. The mathematical formulation is derived with changing...
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Reduced Differential Transform Method for the Treatment of Internal Atmospheric Waves Phenomenon
This paper highlights the occurrences for internal atmospheric waves, often known as gravity waves or gravitational waves. This phenomenon happens...
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Bernstein Collocation Method for Solving High-Order Singular Differential–Difference Equations
The purpose of this article is to present an efficient numerical approach based on Bernstein polynomials for solving high-order linear singular...
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An Efficient Method for Solving the Generalized Thomas–Fermi and Lane–Emden–Fowler Type Equations with Nonlocal Integral Type Boundary Conditions
In this work, we examine various physical phenomena modeled by nonclassical boundary value problems with nonlocal boundary conditions. We concern our...
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A segmented Adomian algorithm for the boundary value problem of a second-order partial differential equation on a plane triangle area
For the boundary value problem (BVP) of a second-order partial differential equation on a plane triangle area, we propose a new algorithm based on...
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Analytical Approximate Solutions for Differential Equations with Generalized Caputo-type Fractional Derivatives
This study provides analytical approximate solutions to classes of nonlinear differential equations with generalized Caputo-type fractional...
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Analysis and numerical computation of a fractional order mathematical model of testosterone secretion in humans
This article examines the fractional order analysis and numerical execution of a model depicting the testosterone secretion in humans, using the...
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Analysis of Some Semi-analytical Methods for the Solutions of a Class of Time Fractional Partial Integro-differential Equations
The goal of this article is to apply the meshfree techniques for solving the time-dependent partial integro-differential equations of fractional...
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Fractional Modeling of Fish Growth with Visual Analysis
In this paper, we analyze the fractional version of mathematical model for the allometric equation in sense of Caputo, Atangana–Baleanu (ABC) and...
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Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative
This paper is devoted to discuss analytically the conformable time-fractional modified nonlinear Schrödinger equation with the aid of efficient...
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Reduced differential transform and Sumudu transform methods for solving fractional financial models of awareness
In that paper, we new study has been carried out on previous studies of one of the most important mathematical models that describe the global...
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A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation
This paper solves fractional differential equations using the Shehu transform in combination with the q-homotopy analysis transform method (q-HATM)....
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Laguerre Wavelets Exact Parseval Frame-based Numerical Method for the Solution of System of Differential Equations
In this study, the Laguerre wavelets exact Parseval frame is introduced and proposed an effective numerical algorithm to get a numerical solution for...
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Airfoil Collocation Method Employing a New Efficient Procedure for Solving System of Two Logarithmic Integro–Differential Equations
In this study, we present the airfoil collocation approach employing a new efficient procedure for approximating the solution of a system of two...