Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
In this paper, modified variational iteration algorithm-II is investigated for finding approximate
solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B …
solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B …
Analytical and numerical solutions of mathematical biology models: The Newell‐Whitehead‐Segel and Allen‐Cahn equations
In this paper, we combine the unified and the explicit exponential finite difference methods to
obtain both analytical and numerical solutions for the Newell‐Whitehead‐Segel–type …
obtain both analytical and numerical solutions for the Newell‐Whitehead‐Segel–type …
Hyperbolic type solutions for the couple Boiti-Leon-Pempinelli system
Abstract In this paper, the (1/G')-expansion method is used to solve the coupled Boiti-Leon-
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …
Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type …
[HTML][HTML] Numerical computation of fractional Black–Scholes equation arising in financial market
The aim of present paper is to present a numerical algorithm for time-fractional Black–
Scholes equation with boundary condition for a European option problem by using …
Scholes equation with boundary condition for a European option problem by using …
Exact solutions of (2+ 1)-Ablowitz-Kaup-Newell-Segur equation
The aim of the present study is to obtain different types of hyperbolic type solutions of the (2+
1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of …
1)-Ablowitz-Kaup-Newell-Segur (AKNS) equation. In order to construction exact solutions of …
Exact and numerical solutions of higher-order fractional partial differential equations: A new analytical method and some applications
In this paper, the solution methodology of higher-order linear fractional partial deferential
equations (FPDEs) as mentioned in eqs and below in Caputo definition relies on a new …
equations (FPDEs) as mentioned in eqs and below in Caputo definition relies on a new …
[HTML][HTML] Numerical computation of Klein–Gordon equations arising in quantum field theory by using homotopy analysis transform method
In this paper, we present a reliable algorithm based on the homotopy analysis transform
method (HATM) to solve the linear and nonlinear Klein–Gordon equations. The Klein …
method (HATM) to solve the linear and nonlinear Klein–Gordon equations. The Klein …
[PDF][PDF] Homotopy analysis Sumudu transform method for nonlinear equations
In this paper, we propose a new approximate method, namely homotopy analysis SUMUDU
TRANSFORM method (HASTM) to solve various LINEAR AND NONLINEAR FOKKER …
TRANSFORM method (HASTM) to solve various LINEAR AND NONLINEAR FOKKER …
On solutions of fuzzy fractional order complex population dynamical model
Uncertainty always involved in our life activities because we cannot measure a physical
quantity accurately. This situation has handled by fuzzy systems and fuzzy differential …
quantity accurately. This situation has handled by fuzzy systems and fuzzy differential …
[HTML][HTML] Chebyshev collocation method for fractional Newell-Whitehead-Segel equation
E Gebril, MS El-Azab, M Sameeh - Alexandria Engineering Journal, 2024 - Elsevier
In this paper, a collocation approach for the fractional Newell-Whitehead-Segel equation is
described. The finite difference method is used to discretized the time-fractional derivative …
described. The finite difference method is used to discretized the time-fractional derivative …